Let $n$ be a positive integer and $R=\{(a,b) \in Z\times Z\, |\, a-b\, =nm\, for\, \, some\, \, m\ne0\in Z\}$ 

Then R is:

1

A ball is thrown off the edge of a building at an angle of 60° and with an initial velocity of 5 meters per second. The…

Topic: CUET 2022

2

A spring is being moved up and down. An object is attached to the end of the spring that undergoes a vertical displacem…

Topic: CUET 2022

3

Let A ={1,2,3} and consider the relation R= {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} then R is:

Topic: CUET 2022

4

If $\vec{a}$, $\vec{b}$, $\vec{c}$ and $\vec{d}$ are the unit vectors such that $(\vec{a} \times \vec{b}).(\vec{c} \tim…

Topic: CUET 2022

5

Let $\vec{a}=\hat{i}-\hat{j}$ and $\vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}$ be a vector such that $(\vec{a} \time…

Topic: CUET 2022

6

If $\vec{a}$ and $\vec{b}$ are two unit vectors such that $\vec{a}+2\vec{b}$ and $5\vec{a}-4\vec{b}$ are perpendic…

Topic: CUET 2022

7

If $A+B=45{^{\circ}}$, then $(1+tanA)(1+tanB)$ is equal to:

Topic: CUET 2022

8

What is the value of :$[tan^2(90-\theta)-sin^2(90-\theta)] cosec^2(90-\theta) cot^2 (90-\theta)$

Topic: CUET 2022

9

If one of the lines of $ax^2+2hxy+by^2=0$ bisects the angle between the axes in the first quadrant, the

Topic: CUET 2022

10

The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle which is:

Topic: CUET 2022

1

The a, b, c and d are in GP and are in ascending order such that a+d = 112 and b+c 48. If the GP is continued with a as…

Topic: CUET 2022

2

Given below are two statements: Statement I : If $A\subset B$ then B can be expressed as $B=A\cup(\overline{A}\cap…

Topic: CUET 2022

3

Given the following truth table: AB X 001010 100 110Which of the following Boolean functions d…

Topic: CUET 2022

4

If $\vec{a}$, $\vec{b}$ and $\vec{c}$ are unit vectors, then $|\vec{a}-\vec{b}|^2+|\vec{b}-\vec{c}|^2+|\vec{c}-\vec{a}|…

Topic: CUET 2022

5

The product of two four bit positive binary numbers 1011 and 0011 is

Topic: CUET 2022

6

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{a}.\vec{b}=1$ and $\vec{a} \times \vec{b}=\hat{j}-\hat{k}$, then $\vec{b}$ …

Topic: CUET 2022

7

Consider the diagram given below and the following two statements:Statement I: Events A and B can be expressed as:$\beg…

Topic: CUET 2022

8

The simplified form of the Boolean Expression AB+AB' is ______

Topic: CUET 2022

9

Representation of -11 in sign and magnitude is : 

Topic: CUET 2022

10

1001 is 2's complement representation of _______

Topic: CUET 2022