2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Students can Download 2nd PUC Electronics Chapter 11 Microcontrollers Questions and Answers, Notes Pdf, 2nd PUC Electronics Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka 2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

2nd PUC Electronics Microcontrollers One Mark Questions and Answers

Question 1.
What is a microcontroller?
Answer:
Microcontroller is a small computer on a single IC consisting of a relatively simple CPU combined with support functions.

Question 2.
What is an Accumulator?
Answer:
Accumulator is a device which stores a number and which on receipt of another number, adds the two and stores the sum. It can also sense the signal, clear and complement etc.

Question 3.
What is a Program Counter?
Answer:
Program counter is a circuit, which holds the address of a byte in memory. It also specifies the address of the next instruction to be fetched and executed.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 4.
What is a Stack pointer?
Answer:
Stack is the area of the memoiy (RAM) that is used in some instructions to store and retrieve data quickly. Stack pointer is used to hold an internal RAM address. When a program jumps to some branch the address of the next instruction is stored in Stack.

Question 5.
What is an interrupt circuit?
Answer:
It is an electronic circuit, which breaks in the normal flow of system or routine and flow can be resumed from that point at a later time.

Question 6.
What is the need of clock circuit?
Answer:
Clock circuit generates the internal clock pulses and all the internal operations are synchronised with this pulse.

Question 7.
How much is the ROM of microcontroller 8051?
Answer:
Microcontroller 8051 has on chip ROM of 4k bytes.

Question 8.
How much is the RAM of microcontroller 8051?
Answer:
Microcontroller 8051 has 128 bytes of RAM.

Question 9.
How many serial ports are there in microcontroller 8051?
Answer:
Microcontroller 8051 has one serial port for communication.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 10.
How many interrupt sources are there in microcontroller 8051?
Answer:
Microcontroller 8051 has six(6) interrupt sources.

Question 11.
What is an addressing mode?
Answer:
Addressing modes specify the way in which the operands are accessed by the instruction.

Question 12.
What is an Operational code (op code)?
Answer:
Operational code (op code) is the short form of expressing the instruction. It consists of mnemonic and operands.

Question 13.
What is the meaning of MOV A, R0?
Answer:
The content of R0 is moved (copied) to register A (accumulator).

Question 14.
What is the meaning of MOV R5, A?
Answer:
Copy the contents of register A(Accomulator) to Register 5.

Question 15.
What is the purpose of register addressing mode?
Answer:
In register addressing mode data is moved between registers A, DPTR, Carry bit and registers R0-R7 are used as part of opcode mnemonics as source or destination.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 16.
What is the use of direct addressing mode?
Answer:
In direct addressing mode 128 bytes of internal RAM and SFRs may be addressed directly using single byte address assigned to each RAM location and each SFR.

Question 17.
What is the direct address of working register R5 in register bank 2?
Answer:
The direct address of register R5 in register bank 2 is ID.

Question 18.
Write the direct address of the Accumulator.
Answer:
The direct address of accumulator register is OEO.

Question 19.
Write the mnemonic for the operation “Save content of A in RAM location 45H”.
Answer:
The mnemonic for saving content of register A in location 45H is MOV 45H, A.

Question 20.
What is meaning of MOV A, @R1?
Answer:
The meaning of MOV A, @R1 is to copy the contents of RAM location whose address is stored in R1 into accumulator A.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 21.
How do you write the mnemonic for the operation “copy the contents of RAM location whose address is stored in R0 into accumulator A” in an indirect addressing mode?
Answer:
The mnemonic for copy the contents of RAM location whose address is stored in R0 into accumulator A is MOV A, @ R0.

Question 22.
Which sign is used as the mnemonic for immediate data?
Answer:
The mnemonic for immediate data is hash (#).

Question 23.
What is meaning of MOV A, #22H?
Answer:
The meaning of MOV A, #22H is to load value 22H into accumulator A.

Question 24.
Write the mnemonic for the operation “load the decimal value 66 into R3”.
Answer:
The mnemonic for loading decimal value 66 into R3 is MOV R3, #66.

Question 25.
What is meaning of MOV DPTR, #1246H?
Answer:
The meaning of MOV DPTR, #1246H is to load 16 bit number (1246H) immediately into register DPTR.

Question 26.
What does ‘jump’ instruction do?
Answer:
The jump instruction permanently changes the contents of program counter either conditionally or unconditionally.

Question 27.
What does ‘call’ instruction do?
Answer:
The call instruction temporarily changes the contents of program counter to allow another part of the program to run either conditionally or unconditionally.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 28.
What is the description of the mnemonic JNZ and ACALL?
Answer:
JNZ is conditional jump instruction, here contents of PC changes only when the result of operation is non zero. ACALL allows to specify 11- bit address in the instruction and calling subroutine within 2k program memory block, starting from the address of the next instruction is possible.

Question 29.
Why is ROM called non volatile?
Answer:
ROM is called non volatile because it does not depend on electrical power to store the numbers.

Question 30.
Why is RAM called volatile?
Answer:
RAM is called volatile because it depends on electrical power to store the numbers, when power is OFF it loses its information.

Question 31.
What is a program?
Answer:
Computer program is a sequence of operations that the computer is to perform.

Question 32.
Expand EEPROM.
Answer:
Electrical Erasable Programmable Read Only Memory.

Question 33.
Expand SRAM.
Answer:
Static Random Access Memory.

Question 34.
Expand RAM.
Answer:
Random Access Memory or Read write memory.

Question 35.
What is data address?
Answer:
Address in memory that is used by the CPU to read or write is called data address.

Question 36.
What is a machine language?
Answer:
Machine language is one in which information is available only in binary form.
2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 37.
Why is assembly language programming called low level programming?
Answer:
Assembly language is low level programming because, it is machine dependant.

Question 38.
How many bits of binary data can a register A hold?
Answer:
Register A can hold 8 bits of binary data.

Question 39.
How many bits of binary data can a register R hold temporarily?
Answer:
Register R can hold 8 bit of binary data temporarily.

Question 40.
How many bits of address can a register PC hold?
Answer:
Register PC can hold 16- bit of address number.

Question 41.
How much “PAL register PC” can hold code address?
Answer:
Practice Assembly Language (PAL) Register can hold code address from 0000H to FFFFH (64K).

Question 42.
What are directives?
Answer:
Assembly language instructions like ADD and MOV are statements called directives.

Question 43.
What does directive do?
Answer:
Instructions tell the computer what to do, while directives give directions to the assembler.

Question 44.
What is a PIC microcontroller?
Answer:
PIC microcontrollers are a family of microcontroller chips produced by microchip technology.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 45.
Expand PIC.
Answer:
PIC is Peripheral Interface Controller.

Question 46.
How many accumulators are there in PIC microcontroller?
Answer:
PIC microcontrollers has one accumulator.

Question 47.
Mention the maximum operating frequency of PIC16F877.
Answer:
Maximum operating frequency of PIC16F877 is 20MHz.

Question 48.
How many times data can be written in PIC16F877?
Answer:
In PIC16F877 microcontrollers 8k ROM memory in flash technology upto 105 times chip can be reprogrammed.

Question 49.
What is the working voltage range of PIC16F877?
Answer:
PIC microcontrollers has working voltage range of 2.0V to 5.5V.

Question 50.
How much is the EEPROM memory?
Answer:
EEPROM memory has 128 bytes.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 51.
What is the largest hex value that can be moved into an 8 bit register?
Answer:
FFH is the largest value that can be moved into an 8 bit register.

This Hex Calculator is used to perform addition, subtraction, multiplication and division on two hexadecimal numbers.

2nd PUC Electronics Microcontrollers Two Marks Questions and Answers

Question 1.
Mention two differences between microprocessor and microcontroller.
Answer:

Microprocessor Microcontroller
Most MPs have very less bit handling instructions MCs have many bit handling instructions
MPs are intended for general purpose applications MCs are for a specific application only

Question 2.
What is an addressing mode? Why is it necessary?
Answer:
The CPU can store data may be in registers, memory or in an external source. The ways by which these data source address are specified are called addressing modes. These are necessary because, the data can be accessed using any one of the modes.

Question 3.
Mention the different opcodes used in 8051.
Answer:
MOV dest, sour; PUSH sour; POP dest; XCH dest, sour; ADD A, Rn etc are some of the opcodes used in 8051.

Question 4.
What are the different parts of memory of 8051?
Ans:
The memory is divided into Internal RAM, Intrenal SFR, External RAM, internal and External ROM.

Question 5.
What is the main feature of MOV opcode? Give an example.
Answer:
MOV opcode transfers data within the 8051 memory. MOV A, Rl; MOV R0,22H; MOV A, #54H; MOV R2,#40.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 6.
What is direct addressing? Explain.
Answer:
In direct addressing mode all 128 bytes of internal RAM and SFRs may be addressed directly using single-byte address assigned to each RAM and SFR registers. MOV R0, 40H save the content of location 40H in R0 register. MOV B, Rl means copy the content of Rl to B.

Question 7.
What is an assembly language?
Answer:
Assembly language fills the gap between low level machine language and high level language. It is written in instruction mnemonics.

Question 8.
Write ALP to represent “load 15H into R2”
Answer:
MOV R2,#15H

Question 9.
Write the summary of unsigned multipliers
Answer:
Multiplication operation use registers A and B as both source and destination addresses for the operation. MUL AB multiplies contents of A and B.

Multiplication Operand 1 Operand 2 Result
Byte x Byte A B A = lower byte
B = High byte

Question 10.
Write the summary of division of unsigned numbers.
Answer:
In the division of unsigned numbers 8051 supports byte over byte only. DIV AB, after division quotient is in A and remainder in B

Division Numerator Denominator Quotient Remainder
Byte/Byte A B A B

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 11.
Mention any two core features of PIC microcontroller.
Answer:
Instruction set simplicity and programmable timer options.

Question 12.
Mention the main features of PIC microcontroller.
Answer:
Operating frequency-0-20MHz, Power supply voltage 2.0 to 5.5V, power saving sleep mode, ADC, Watch dog timer, US ART module etc.

Question 13.
Mention the power supply and power consumption of PIC16F877.
Answer:
Power suppy 2.0V to 5.5V and power consumption is 220mA (2.0V, 4MHz), llmA(2.0V. 32kHz), 50nA standby mode.

Question 14.
Briefly explain Data transfer instruction.
Answer:
In data transfer instructions, data is moved(copied) from the source to destination. Most ofthe instructions in this group does not affect the PSW flags. MOV, PUSH, POP and XCH are the commonly used instructions in this group.

Question 15.
Briefly explain Arithmetic instruction.
Answer:
Various arithmetic operations are carried out in this group of instructions. ADD, SUB, INC, DEC, MUL, DIV are the basic operations used.

Question 16.
Briefly explain Logical instructions.
Answer:
Logical operations like AND, OR, XOR, complement, rotate are performed by these instructions. One of the operand is always register A.

Question 17.
Briefly explain programming instructions.
Answer:
These are also called branching instructions. Conditional and unconditional branching instructions are used. JMP, AJMP, LJMP, CALL, ACALL are some examples.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 18.
What is the function of register A?
Answer:
The register A is used to store the data temporarily and also to hold the result of arithmetic and logical instructions.

Question 19.
What is the function of register R?
Answer:
Register R stores numbers temporarily.

Question 20.
What is the function of register PC?
Answer:
It is a 16 bit register. Program instruction bytes are fetched from locations in memory that are addressed by PC. The PC is automatically incremented after every instruction byte is fetched and may also be altered by certain instructions.

Question 21.
Briefly explain about structure of Assembly Language.
Answer:
Assembly language is a series of lines of assembly language instructions consisting of mnemonics, one or two operands. The four fields of assembly language are: label; mnemonic; operand; comment.

2nd PUC Electronics Microcontrollers Three Marks Questions and Answers

Question 1.
Mention the reason to write computer instructions in assembly language.
Answer:
a. To speed computer operation. Programs written in assembly language can be stored compactly, and less time is spent fetching the code. High level languages are converted to code by utility programs named compilers. Because of general nature of high level languages, the compilers often produce excess or over head-code.

b. To reduce the size of the program. Assembly language requires no extra overhead code because the assembly language programmer is aware of extra needs of the program for any given situation.

c. To write programs for special situations. Often, particularly when dealing with machine control, no standard programs exist. Robot arms and antilock brakes, for instance, have no standard drivers. It is generally more efficient to write nonstandard driver programs in assembly code, also, when speed of response is critical, assembly-coded programs execute rapidly because of the exact fit of program code to task requirements.

d. To make economical. Small computer systems such as those that are embedded inside other machines, are often produced in large numbers. Reducing code size also reduces the cost of associated ROM chips.

e. To better understand how computer operates. In order to fully understand what is going on “under the hood” of the CPU, you should learn to program the CPU in assembly language.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 2.
Mention the different programs required ALPs converted into code memory bit charges,
Answer:
The different programs required ALPs converted into code memory bit charges are:
a. An operating system program, which controls the operation of the personal computer used for the entire programming process. DOS is the operating system program used by many PCs. Windows is another.

b. A word processing, often called a text editor program. Programs in assembly language mnemonics are written using the text editor and stored on a disk as files that, normally, end in the extension asm.The asm files are intended for the use of another program called the assembler programs. Any text editor that can produce an ASCII (text) file is suitable for writing assembly language, asm files.

c. An assembler program, which takes the. asm assembly language program file and converts it to a machine code, obj file. The assembler converts the ASCII mnemonic text file into an. obj file that contains machine code instructions to the CPU, in binary form.

d. A testing program, which lets you run and test your program under controlled conditions. Testing your program is the most important step of the programming process. To be able to test program one must be able to execute each instruction and see the results. Utility programs that allow the user to test programs are called debuggers or simulators.

Question 3.
Briefly explain the different bits of binary memories of different registers.
Answer:
Figure shows the different bits of binary memories of different registers.
2nd PUC Electronics Question Bank Chapter 11 Microcontrollers 1

Question 4.
What are the different fields present in ALP (PAL – Practice Assembly language)?
Answer:
PAL contains three internal registers:
Register A: Performs all operations in the CPU Register B: Stores numbers temporarily
Register PC: Holds the address of the next instruction to be executed in code memory. Register A and R can hold 8 bits of binary data and register PC can hold a 16-bit address number. PAL is called an 8-bit computer because the working registers A and R can hold a 1-byte number. PAL register PC limits the number of code byte addresses to 64k because it can hold code address from address 0000H to address FFFFH.

Question 5.
Write ALP to represent load 15H into R2
Answer:
MOV R2, #15h

Question 6.
Write the description of ALP ADDA, R2
Answer:
The content of register R2 is added with the content of accumulator and the the sum is stored in the accumulator.

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 7.
Mention the different types of addressing modes.
Answer:
There are four addressing modes in 8051

  • Immediate addressing mode
  • Register addressing mode
  • Direct addressing mode
  • Indirect addressing mode

Question 8.
Briefly explain data transfer instructions.
Answer:
These instructions move the content of one register to another one. Data can also be transferred to stack with the help of PUSH and POP instructions.
2nd PUC Electronics Question Bank Chapter 11 Microcontrollers 2

Question 9.
Briefly explain arithmetic instructions.
Answer:
These instructions perform several basic arithmetic operations. After execution, the result is stored in the first operand. 8 bit addition, subtraction, multiplication, increment-decrement instructions can be performed in 8051.

Example:
ADDA, Rn
ADDA, #8 bit data
ADDC A, Direct
ADDC A, Rn
ADDC A, @Ri
ADDC A, #8 bit data
SUBB A, Rn
SUBB A, Direct
SUBB A, @Ri
SUBB A, #8 bit data
INC A
INC Rn
INC Direct
INC @Ri
DEC A
DEC Rn
DEC Direct
DEC @Ri
INC DPTR
MUL A B
DIVA B
DA A

Question 10.
Briefly explain logical instructions.
Answer:
These instructions perform logical operations between two register contents on a bit by bit’ basis. After execution, the result is stored in the first operand.
Example:
ANL A, Rn
ANL A, Direct
ANL A, @Ri
ANL A, #8 bit data
ANL Direct, A
ANL Direct, #8 bit data
ORLA, Rn
QRL A, Direct
ORLA, @Ri
ORL A, #8 bit data
ORL Direct, A
ORL Direct, #8 bit data
XRL A, Rn
XRL A, Direct
XRL A, @Ri
XRL A, #8 bit data
XRL Direct, A
XRL Direct, #8 bit data
CLR A
CPLA
RLA
RLC A
RR A
RRC A
SWAP A

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 11.
Briefly explain programming instructions.
Answer:
Assembly language programming consists of writing programs using instr uction mnemonics that are specified by the manufacturer. An instruction consists of a label, an instruction mnemonic, operands and operational comments. The instruction mnemonic specifies the action to be taken by the CPU and the operands specify the addresses of data used in the action. Labels are the names given to the address numbers in program code memory.

Question 12.
Mention three key features,
i. Max operating frequency
ii. Flash programming memory
iii. No. of pins of 16F877.
Answer:
i. Operating speed:

  • DC – 20 MHz oscillator/clock input
  • DC – 200 ns instruction cycle

ii. Flash memory size:

  • 100,000 write Flash endurance
  • 1,000,000 write EEPROM endurance
  • Flash/Data EEPROM retention: > 40 years

iii. No. of pins of 16F877: 28 pins

Question 13.
Mention the value of ROM, RAM and EEPROM of PIC16F877.
Answer:

  • 100,000 write Flash endurance
  • 1,000,000 write EEPROM endurance
  • Flash/Data EEPROM retention: > 40 years

2nd PUC Electronics Microcontrollers Five Marks Questions and Answers

Question 1.
Compare a microprocessor with a microcontroller
Answer:

Microprocessor Microcontroller
μP have many operational codes for moving data and performing operations, but it has only few bit-handling instructions. μC have one or two operational codes for moving data from and performing operations, but it has many bit- handling instructions.
μP is concerned with rapid movement of code and data from external addresses to the chip. μC is concerned with rapid movement of bits within the chip.
μP need external digital parts (Hardware) to perform its tasks as computer. μC can function as computer without addition of external digital parts.
μP are used in general purpose computing devices, supports wide range of applications with general hardware. μC are used in embedded systems and supports only dedicated applications with customized hardware.

Question 2.
Mention the features of 8051.
Answer:
1. Eight-bit CPU with registers A (Accumulator) and B.
2. Sixteen-bit program counter (PC) and data pointer(DPTR)
3. Eight-bit program status word (PSW)
4. Eight-bit stack pointer(SP)
5. Internal ROM or EPROM (8751) of 4k bytes
6. Internal RAM of 128 bytes :

  • Four register banks, each containing eight registers
  • Sixteen bytes, which may be addressed at the bit level
  • Eight bytes of general purpose registers

7. Four 8-bit I/O ports (P0-P3)
8. Two 16-bit timer/counter TO and T1
9. Full duplex serial data receiver/ transmitter : SBUF
10. Control register: TCON, TMOD,SCON,PCON,IP and IE
11. Two external and two internal interrupt sources
12. Oscillator and clock circuits

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 3.
Draw the pin diagram of 8051
Answer:
2nd PUC Electronics Question Bank Chapter 11 Microcontrollers 3

Question 4.
Briefly explain the core features of pic microcontroller(PIC 16F887)
Answer:
2nd PUC Electronics Question Bank Chapter 11 Microcontrollers 4

Question 5.
Briefly explain the steps used in creating a program.
Answer:
The steps to create a program are:

  • Program editor is used to type in the program. The editor must be able to produce ASCII file for many assembler and will have the extension “.asm” or “src”.
  • Assembler on receiving the file in “.asm” form converts the instructions into steps to creat a program machine code. Assembler will produce an object file “.obj” and list file “.1st”.
  • Linker program links one or more object files and produce an absolute object file “.abs”.
  • The “.abs” file is fed to object to hex converter(OH) and create an extension “.hex” and is ready to bum ROM.

Question 6.
Briefly explain signed and unsigned subprogram.
Answer:
Subtraction of unsigned numbers: In 8051 SUBB is used to subtract two numbers by using unsigned representation by setting the bit CY=0 or CY=1. Whereas, in signed representation the sum or difference should not be greater than or less than -128 or 127.

Question 7.
Explain the core features of PIC16F887 microcontroller.
Answer:
24/35 I/O pins with individual direction control:

  • High current source/sink for direct LED drive
  • Interrupt-on-Change pin
  • Individually programmable weak pull-ups
  • Ultra Low-Power Wake-up (ULPWU)

Analog Comparator module with:

  • Two analog comparators
  • Programmable on-chip voltage reference (CVREF) module (% of VDD)
  • Fixed voltage reference (0.6V)
  • Comparator inputs and outputs externally accessible
  • SR Latch mode
  • External Timer 1 Gate (count enable)

A/D Converter:

  • 10-bit resolution and 11/14 channels
  • Timer O: 8-bit timer/counter with 8-bit programmable prescaler

Enhanced Timer 1:

  • 16-bit timer/counter with prescaler
  • External Gate Input mode
  • Dedicated low-power 32 kHz oscillator

Timer2: 8-bit timer/counter with 8-bit period register, prescaler and postscaler

Enhanced Capture, Compare, PWM+ module:

  • 16-bit Capture, max. resolution 12.5 ns
  • Compare, max. resolution 200 ns
  • 10-bit PWM with 1, 2 or 4 output channels, programmable “dead time”, max. frequency 20 kHz
  • PWM output steering control

Capture, Compare, PWM module:

  • 16-bit Capture, max. resolution 12.5 ns
  • 16-bit Compare, max. resolution 200 ns
  • 10-bit PWM, max. frequency 20 kHz

Enhanced USART module:

  • Supports RS-485, RS-232, and LIN 2.0
  • Auto-Baud Detect
  • Auto-Wake-Up on Start bit
  • In-Circuit Serial Programming TM (ICSPTM) via two pins
  • Master Synchronous Serial Port (MSSP) module – supporting 3-wire SPI (all 4 modes) and 12C™ Master and Slave Modes with I2C address mask

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 8.
Briefly explain different addressing modes in the 8051.
Answer:
There are four addressing modes in 8051.

  • Immediate addressing mode: the data source is available immediately as a part of instruction itself. Example: MOV A, #8bit data
  • Register addressing mode: the source and destination register names are parts of the opcode in instruction. Example: MOV A, R0
  • Direct addressing mode: the source and/or destination may be the internal RAM locations. Example: MOV 90h, #50h
  • Indirect addressing mode: the source or destination address may be indicated the content of index register. Example: MOV @Rl,#40h

Problems with Solutions

Question 1.
Write the instructions to move value 34H into register A and value 3FH into register B, then add them together.
Answer:
MOV A, #34h
MOV 0F0, #3Fh
ADD A, 0F0
LCALL 0003h

Question 2.
Write the instructions to add the values 16H and CDH, place the result in register R2.
Answer:
MOV A, #16h
MOV R2, #CDh
ADD A, R2
MOV R2,A
LCALL 0003 h

2nd PUC Electronics Question Bank Chapter 11 Microcontrollers

Question 3.
Add 25H and 34H and put the result in register A.
Answer:
MOV A, #25h
ADDA, #34h
LCALL 0003

Question 4.
Write a program to add two 8-bit numbers and store it in R6. The numbers are 01EH and 01CH.
Answer:
MOV A, #lEh
ADD A, #lCh
MOV R6, A
LCALL 0003h

Question 5.
Subtract 21H from 30H and write the program and solve.
Answer:
MOV A, #30h
SUBB A, #21h
LCALL 0003h

2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1

Students can Download Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka 2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1

2nd PUC Maths Inverse Trigonometric Functions NCERT Text Book Questions and Answers Ex 2.1

An online inverse function calculator allows you to find the inverse of the given functions with step-by-step calculations in a fraction of a second.

Find the principal values of the following

Question 1.
\(\sin ^{-1}\left(-\frac{1}{2}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 1

Question 2.
\(\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)\)
Answer:

2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 2

KSEEB Solutions

Question 3.
cosec1 (2)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 3

Question 4.
\(\tan ^{-1}(-\sqrt{3})\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 4
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 5

Question 5.
\(\cos ^{-1}\left(-\frac{1}{2}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 6

Question 6.
tan-1(-1)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 7

KSEEB Solutions

Question 7.
\(\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 8

Question 8.
\(\cot ^{4}(\sqrt{3})\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 9

Question 9.
\(\cos ^{2}\left(-\frac{1}{(\sqrt{2})}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 10

Question 10.
\({ cosec }^{ -1 }\left( -\sqrt { 2 } \right) \)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 11
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 12

KSEEB Solutions

Find the values of the following:

Question 11.
\(\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 13

Question 12.
\(\cos ^{-1}\left(\frac{1}{2}\right)+2 \sin ^{-1}\left(\frac{1}{2}\right)\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 14

Question 13.
If sin-1 x = y, then
(A) \(0 \leq y \leq \pi\)
(B) \(-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}\)
(C) \(\mathbf{0}<\mathbf{y}<\boldsymbol{\pi}\)
(D) \(-\frac{\pi}{2}<y<\frac{\pi}{2}\)
Answer:
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 15
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 16

KSEEB Solutions

Question 14.
\(\tan ^{-1} \sqrt{3}-\sec ^{-1}(-2) \text { is equal to }\)
(A) π
(B) \(-\frac{\pi}{3}\)
(C) \(\frac{\pi}{3}\)
(D) \(\frac{2 \pi}{3}\)
Answer
2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1 17

2nd PUC Computer Science Question Bank with Answers Karnataka

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2nd PUC Computer Science Question Bank with Answers

Karnataka 2nd PUC Computer Science Question Bank with Answers

Unit A – Backdrop of Computers

Unit B – Computing in C++

Unit C – Large Data Database & Queries

Unit D – Advanced Concepts in Communication Technology

Karnataka 2nd PUC Computer Science Syllabus and Marking Scheme

2nd PUC Computer Science Blue Print of Model Question Paper

2nd PUC Computer Science Blue Print of Model Question Paper 2

2nd PUC Computer Science Design of Question Paper

Time: 3 Hours 15 Minutes (of which minutes for reading the question paper).
Maximum Marks: 70

The weightage of the distribution of marks over different dimensions of the question paper shall be as follow:
Weightage to Objectives:

Objective Weightage Marks
Knowledge 30% 31
Understanding 40% 43
Application 20% 21
Skill 10% 10
Total 100% 105

Weightage to Content / Subject Units: Computer Science

2nd PUC Computer Science Blue Print of Model Question Paper 2

Unit A – Backdrop of Computers (35 Hours/31 Marks)

1. The typical configuration of Computer system Organisation (5 Hrs/4 Marks)

  • Review of Block diagram of CPU (1 Hr)
  • Motherboard, Introduction to Motherboard, Types of Motherboards, Components of Motherboard, Procesor and clock speed, BIOS, CMOS, Memory and Expansion slots. Disk Controllers. I/O Ports and Interfaces. BUS (2 Hr)
  • Power supply SMPS and UPS (1 Hr)
  • The typical configuration of a Computer system (1 Hr)

2. Boolean Algebra (15 Hours / 13 Marks)

  • Development of Boolean Algebra (History’), Binary valued quantities, Boolean constants, Boolean variables (2 Hrs)
  • Logical operators, Logical functions or compound statements. Logical operators, Evaluation of Boolean expressions. Using the truth table. Using rules of algebra (2 Hrs)
  • Logic gates, Basic gates, OR Gate, AND Gate, NOT Gate, Derived Gates, NOR Gate, NAND Gate, XOR Gate, XNOR Gate. (2 Hrs)
  • Design of gates, NAND to NAND and NOR to NOR design, Design of basic gates ( NOT, OR & AND ) using NAND and NOR gates (1 Hr)
  • Basic postulates of Boolean Algebra (with prof ) Properties of 0 and 1, Idempotence law, Involution law, Complementarity law, Commutative law, Associative law. Distributive law-different forms. Absorption law. (2 Hrs)
  • De Morgan’s theorems, De Morgan’s I theorem, De Morgan’s I theorem, Applications of De Morgan’s theorems, Derivation of Boolean expressions, Min terms, Max terms, Canonical expressions. (3 Hrs)
  • Minimization of Boolean expressions. Simplification using Karnaugh map (up to 4-variables), Sum-of-product reduction using Karnaugh map, Product-of-sum reduction using Karnaugh map (3 Hrs)

3. Data structures (15 Hours/14 Marks)

Introduction to Data Structures, Introduction to Data Structures. Data representation, Types of Data structures -Linear and non-linear. Definition for Traversal, Insertion, Deletion, Searching sorting and merging. (2 Hrs)

Arrays, Introduction, Types of arrays, one dimensional and two dimensional, Memory representation of data, Basic operations on One-dimensional arrays, Traversing, Insertion of an element, Deletion of an element, searching near and Binary’ search). Sorting (6 Hrs)

Stacks and Queues, Data representation in stacks(using arrays), Operations on stacks(Push and pop), Applications of Stacks-polish notation- prefix.infix, postfix expression, Queues, Types of Queues. Data representation. Operations on Queues. (5 Hrs)

Linked lists, Single and double linked lists. Operations on single linked lists (2 Hrs)

Unit B – Computing in C++ (45 Hours/39 Marks)

4. Object-Oriented Programming in C++
Programming paradigms. Procedural programming. Object-Oriented programming. (1 Hr)

Basic concepts of OOPS, Introduction to Classes and Objects, Data Abstraction, Data Encapsulation, Inheritance, Polymorphism, Advantages of OOPS over earlier programming methodologies, Classes and objects. (4 Hrs)

Declaration & definition of class and objects, Aces specifies (scope of class & its members), Private, Public, Protected, Members of the class, Data members, Member functions, Member functions inside the class definition. Member functions outside clas definition, Referencing class members, Array within the class, using objects, an array of objects. Functions returning objects. (6 Hrs)

Function overloading. Introduction, Need for function overloading, Declaration and definition of function overloading, Restrictions on functions overloading, Calling overloaded functions. Inline function. Friend function. (3 Hrs)

Constructor & Destructor, Introduction, Constructor, Declaration & definition of Constructor Default constructor, Parameterized constructor, Copy constructor, Constructor overloading, Special characteristics of the constructor, Constructor with default arguments, Destructor, Ned for Destructor, Declaration & definition of Destructor. Special characteristics of Destructor. (8 Hrs)

Inheritance(Extending classes), Concepts of Inheritance, Base class, Derived class, Defining derived classes. Protected visibility modes, Levels of inheritance, Single, Multilevel, Multiple, Hierarchical, Relationship between classes. (8 Hrs)

Pointers, Introduction, Declaration & initialization of pointers, Memory representation of pointers, Address operator, Pointer operator(indirection operator), Pointer arithmetic, Memory allocation of pointers(static and dynamic), new and delete. Pointer and arrays, Arrays of pointers.Pointers to an array (1 dimensional), Pointers to strings, Pointer and functions, Bypassing the references. Bv passing the pointers, Pointer and structures. Pointer and objects, this pointer. (7 Hrs)

Data file handling, Introduction, Header files(fstream.h), Types of data file text file introduction, Binary file introduction, Opening & closing files, Using constructor, Using open)), File modes, In, out, app modes, get(), getline)), put(), putline)), open)), close)), read)), write)), Detecting end of file, File pointers, tellg(), tellp(), seekg(), seekp() functions, Operation on files(sequential), Create, write, display. (6 Hrs)

Unit C – Large Data, Database and Queries (20 Hours/18 Marks)

5. Database Concepts
Database Concepts, Introduction Tacts,data,information,features database definitions : datatypes, field,records,table Logical database concepts – entities,attributes, relations (1:1,1-M,M-1,M-M),- Physical data organisation – sequential, random, indexed sequential, Ned for Databases. Data Abstraction:- view, schema, internal, conceptual, external, Data Models, Hierarchial, Network and Relational Models, KEYS – Primary, Secondary, Candidate, Foreign, Alternate, Relational Algebra, Selection, Protection, Union. Cartesian Product. Data warehousing. Data mining concepts. (8 Hrs)

Structured Query Language, Introduction and need of SQL, Data types(number, Varchar, Date), DDL. DML. (4 Hrs)

SQL COMMANDS, CREATE, DROP, ALTER, UPDATE, INSERT, DELETE. SELECT, DISTINCT, FROM, WHERE, GROUP BY, ORDER BY, JOIN, SQL Functions, SUM, AVG, COUNT. MAX, MIN (8 Hrs)

Unit D – Advanced Concepts in Communication Technology (20 Hours/19 Marks)

6. Networking Concepts (10 Hrs)
Introduction, Evolution of Networking and Protocols, ARPANET, Layers, OSI VsTCP/IP, HTTP, FTP/Slip/PPP, Internet, Interspace, Different Terminologies used in Network, Advantages of Networking, Switching techniques, Circuit, Message and Packet Switching, Type of Networking, LAN. MAN, WAN, Transmission Media, Twisted pair cable, Coaxial Cable, optical fibres, Microwave. Radiowave, Satelite, Infrared, Laser, Network Topologies, Point-point, Bus,Star, Ring, Tre, Mesh, Graph, Fully connected, Network Devices, Modem, RJ-45, Hub, Ethernet, Switch, repeater, bridge, router and gateway, Wireless/Mobile Computing, Definition, Technologies of GSM, CDMA, GPRS, WLL, 2G, 3G, 4G, 5GApplications, SMS, Voice, Chat, Video conferencing protocol, WiFi. Viruses. Network Security

7. Internet and Open source concepts (5 Hours/4 Mark)
Definition and Applications, Internetworking terms and concepts, WWW, Telnet, URL, Domain, Web server, Web sites, web browser, web Address, Web Page, IPR issues, Open source, E-commerce.

8. Web Designing (5 Hours/4 Marks)
Introduction, HTML, -text, layout, images, table, forms, settings, XML, DYNAMIC HTML, Web HOSTING.

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Unit 1: Language Use

Part A

Part B

Unit 2: Reading

Unit 3: Writing

UNIT 4: Listening – Speaking

Appendix

Karnataka 2nd PUC English Blue Print of Model Question Paper

2nd PUC English Blue Print of Model Question Paper 1

2nd PUC English Blue Print of Model Question Paper 2

2nd PUC English Blue Print of Model Question Paper 3

Karnataka 2nd PUC English Design of the Question Paper

A. Length
a. Very Short Answer (VSA) (a word /phrase / sentence) (47 Marks)
b. Paragraph Answer (middle-length 80 to 100 words) (42 Marks)
c. Long Answer (LA) (in about 200 words) (11 Marks)

B. Level of Response (I to VII)
a. Easily Accessible (39 Marks)
b. Moderately Challenging (45 Marks)
c. Highly Challenging (16 Marks)

C. Rationale to be followed in the Question Paper
Section I
This should contain 4 questions on poetry and 8 on prose including the play. No True/False questions shall be asked. When MCQs are used, care should be taken to see that only one answer is possible.

Section II
Ten questions are to be set here. Out of ten, 7 shall be set on prose units including the play and 3 on poems. A student has to answer at least 2 questions on poems.

Section III
In this section an internal choice shall be provided with two questions set on prose units and one on poems. This question is aimed at testing the learner’s critical and analytical approach. The learner shall be provided an opportunity to come up with his/her personal views, stance and world view. The questions set in this section shall aim to do so.

Section IV
An unseen passage of moderate length is to be selected for this section. Ten questions on this passage are to be set. Along with questions on factual details, a few inferential questions shall be set. These inferential questions shall not be consecutive.
The questions set on lines chosen from the poem shall be aimed at testing extensive reading comprehension rather than testing the learner’s ability to appreciate. The lines from the poem shall be chosen from among the ones given in the Reading Unit of the Work Book.

Section V
This section shall contain questions on reported speech, use of the passive, dialogue writing, use of expressions and linkers. The questions set to test learning at these areas shall be contextualised.

Section VI
In this section questions on composition skills like note making, letter writing, speech writing and report writing shall be set. The letter shall be a job application. An internal choice shall be provided between speech writing (expansion) and report writing. For report writing, a bar chart, pie chart or line graph shall be given with a variety of data.

Section VII
This section aims to test the learner’s understanding of the pronominal words. For this purpose a short paragraph from the passage given at Q.No. 24 shall be given.
The question on jumbled segments shall have a minimum of five segments and shall be chosen from one of the prose units in the Course Book.

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Sahitya Sampada Kavyabhaga

Sahitya Sampada Gadyabhaga

Sahitya Sampada Dirgha Gadya

2nd PUC Kannada Pallava Workbook Answers

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Pallava (Abhyasa Pustaka)

2nd PUC Kannada Textbook Answers, Notes, Guide, Summary Pdf Download Karnataka
2nd PUC Kannada Textbook Answers, Notes, Guide, Summary Pdf Download Karnataka 1
2nd PUC Kannada Textbook Answers, Notes, Guide, Summary Pdf Download Karnataka

2nd PUC Kannada Blue Print of Model Question Paper

Karnataka 2nd PUC Kannada Blue Print of Model Question Paper

Karnataka 2nd PUC Kannada Blue Print of Model Question Paper 1

Karnataka 2nd PUC Kannada Blue Print of Model Question Paper 2

Karnataka 2nd PUC Kannada Blue Print of Model Question Paper 3

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Karnataka 2nd PUC Basic Maths Question Bank with Answers

Karnataka 2nd PUC Maths Question Bank with Answers

2nd PUC Basic Maths Question Bank Chapter 1 Matrices and Determinants

2nd PUC Basic Maths Question Bank Chapter 2 Permutations and Combinations

2nd PUC Basic Maths Question Bank Chapter 3 Probability

2nd PUC Basic Maths Question Bank Chapter 4 Binomial Theorem

2nd PUC Basic Maths Question Bank Chapter 5 Partial Fractions

2nd PUC Basic Maths Question Bank Chapter 6 Mathematical Logic

2nd PUC Basic Maths Question Bank Chapter 7 Ratios and Proportions

2nd PUC Basic Maths Question Bank Chapter 8 Bill Discounting

2nd PUC Basic Maths Question Bank Chapter 9 Stocks and Shares

2nd PUC Basic Maths Question Bank Chapter 10 Learning Curve

2nd PUC Basic Maths Question Bank Chapter 11 Linear Programming Problems

2nd PUC Basic Maths Question Bank Chapter 12 Sales Tax and Value Added Tax

2nd PUC Basic Maths Question Bank Chapter 13 Heights and Distances

2nd PUC Basic Maths Question Bank Chapter 14 Compound Angles, Multiple Angles, Sub Multiples Angles and Transformation Formulae

2nd PUC Basic Maths Question Bank Chapter 15 Circles

2nd PUC Basic Maths Question Bank Chapter 16 Parabola

2nd PUC Basic Maths Question Bank Chapter 17 Limits and Continuity of a Function

2nd PUC Basic Maths Question Bank Chapter 18 Differential Calculus

2nd PUC Basic Maths Question Bank Chapter 19 Application of Derivatives

2nd PUC Basic Maths Question Bank

2nd PUC Basic Maths Question Bank Chapter 21 Definite Integrals and Its Application to Areas

Karnataka 2nd PUC Basic Maths Question Bank with Answers

Karnataka 2nd PUC Maths Blue Print of Model Question Paper

2nd PUC Basic Maths Blue Print of Model Question Paper

2nd PUC Basic Maths Blue Print of Model Question Paper 2

2nd PUC Basic Mathematics Weightage Given To The Curriculum

2nd PUC Basic Mathematics Weightage Given To The Curriculum

2nd PUC Basic Mathematics Unit Wise Weightage

2nd PUC Basic Mathematics Unit Wise Weightage

Instruction To Question Paper Setters

Note: In The Chapter (4) Binomial Theorem The Proof Of The Binomial Theorem For Positive Integral Power Is Excluded
PART – E

6 Marks Questions Must Be Selected From The Following Topics Only:

  1. Application of matrix: (3 x 3) order about statement problem, formation of linear equation and solve them by matrix method
  2. Circle: Problems on concylic (circle passes through 4 points)
  3. Limits: standard theorem

2nd PUC Basic Mathematics Unit Wise Weightage 1

4 Marks Question Must Be Selected From The Following Topic Only.

  1. Binomial theorem: Application problems like Evaluate : (0. 98)5, (1.01)5, (102)4, (0.97)4… etc upto 4 decimal.
  2. Heights and distances : Application problems
  3. Linear programming problem (L.P.P): Statement problems on L.P.P for mationtion of linear equations.
  4. Cost and revenue function : Problems on total cost, total revenue, Marginal cost, Marginal revenue, Profit Maximization etc.

Model Question Paper Pattern
Instructions:

  1. The question paper has 5 parts A, B, C, D & E. Answer all the parts.
  2. Part A carries 10 marks, Part B carries 20 marks, part C carries 30 marks, Part D carries 30 marks and part E carries 10 marks.
  3. Write the question numbers properly as indicated in the question paper.

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Shevadhi Sanskrit Textbook Solutions

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Karnataka 2nd PUC Sanskrit Blue Print of Model Question Paper

2nd PUC Sanskrit Blue Print of Model Question Paper 3

2nd PUC Sanskrit Blue Print of Model Question Paper 3

2nd PUC Sanskrit Blue Print of Model Question Paper 3

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प्रथम सोपान – गद्य भाग

द्वितीय सोपान – पद्य भाग

अ) मध्यकालीन कविता

आ) आधुनिक कविता

तृतीय सोपान – अपठित भाग (एकांकियाँ)

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Sahitya Gaurav 2nd PUC Hindi Workbook Answers Abhyas Pustika

प्रथम सोपान – गद्य भाग

द्वितीय सोपान – पद्य भाग

अ) मध्यकालीन कविता

आ) आधुनिक कविता

तृतीय सोपान – अपठित भाग (एकांकी)

चतुर्थ सोपान – व्याकरण तथा रचना

Karnataka 2nd PUC Hindi Blue Print of Model Question Paper

2nd PUC Hindi Blue Print of Model Question Paper

2nd PUC Hindi Blue Print of Model Question Paper 2

2nd PUC Hindi Blue Print of Model Question Paper 3

Karnataka 2nd PUC Hindi प्रश्न पत्र का ढाँचा

2nd PUC Hindi Blue Print of Model Question Paper 1

I. अ. एक शब्द या वाक्यांश या वाक्य में उत्तर लिखिए : (छ: प्रश्न) (6 × 1 = 6)
आ. किन्हीं तीन प्रश्नों के उत्तर लिखिए : (पाँच प्रश्नों में से तीन) (3 × 3 = 9)

II. अ. निम्नलिखित वाक्य किसने किससे कहे ? (चार प्रश्न) (4 × 1 = 4)
आ. ससंदर्भ स्पष्टीकरण कीजिए : (चार प्रश्नों में से दो प्रश्न) (2 × 3 = 6)

III. अ. एक शब्द या वाक्यांश या वाक्य में उत्तर लिखिए : (छ: प्रश्न) (6 × 1 = 6)
(मध्यकालीन कविता में से दो प्रश्न तथा आधुनिक कविता में से चार प्रश्न)
आ. किन्हीं दो प्रश्नों के उत्तर लिखिए : (चार प्रश्नों में से दो प्रश्न) (2 × 3 = 6)
(मध्यकालीन कविता में से एक प्रश्न तथा आधुनिक कविता में से तीन प्रश्न)
इ. ससंदर्भ भाव स्पष्ट कीजिए : (2 × 4 = 8)
(मध्यकालीन कविता -दो में से एक आधुनिक कविता दो में से एक)

IV. अ. एक शब्द या वाक्यांश या वाक्य में उत्तर लिखिए: (5 × 1 = 5)
(पाँच प्रश्न) [कम से कम दो प्रश्न एक एकांकी से]
आ. किन्हीं दो प्रश्नों के उत्तर लिखिए: (2 × 5 = 10)
(i) प्रथम एकांकी से दो प्रश्नों में से कोई एक प्रश्न
(ii) द्वितीय एकांकी से दो प्रश्नों में से कोई एक प्रश्न

V. अ. वाक्य शुद्ध कीजिए : (चार वाक्य) (4 × 1 = 4)
आ. रिक्त स्थान की पूर्ति कीजिए : (चार रिक्त स्थान) (4 × 1 = 4)
(कारक चिह्न या उचित शब्द)
इ. सूचनानुसार काल बदलिए : (तीन वाक्य) (3 × 1 = 3)
ई. मुहावरों को अर्थ के साथ जोड़कर लिखिए : (4 × 1 = 4)
उ. अन्य लिंग रूप लिखिए : (तीन शब्द) (3 × 1 = 3)
ऊ. अनेक शब्दों के लिए एक शब्द : (तीन शब्द) (3 × 1 = 3)
ए. उपसर्ग जोड़कर लिखिए : (दो शब्द) (2 × 1 = 2)
ऐ. प्रत्यय अलग कर लिखिए : (दो शब्द)

VI. अ. किसी एक विषय पर निबंध लिखिए : (तीन में से एक) (1 × 5 = 5)
(अथवा)
पत्र लेखन
आ. अपठित गद्यांश (5 × 1 = 5)
इ. अनुवाद (कन्नड़/अंग्रेज़ी से हिन्दी में) (पाँच वाक्य) (5 × 1 = 5)

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Karnataka 2nd PUC Computer Science Model Question Papers with Answers 2020-2021

2nd PUC Computer Science Blue Print of Model Question Paper

2nd PUC Computer Science Blue Print of Model Question Paper 2

2nd PUC Computer Science Design of Question Paper

Time: 3 Hours 15 Minutes (of which minutes for reading the question paper).
Maximum Marks: 70

The weightage of the distribution of marks over different dimensions of the question paper shall be as follow:
Weightage to Objectives:

Objective Weightage Marks
Knowledge 30% 31
Understanding 40% 43
Application 20% 21
Skill 10% 10
Total 100% 105

Weightage to Content / Subject Units: Computer Science

2nd PUC Computer Science Blue Print of Model Question Paper 2

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