If $\hat n_1,\hat n_2$ are two unit vectors and $\theta$ is the angle between them, then $\cos\dfrac{\theta}{2}$ is equal to

1

If a chord which is normal to the parabola $y^2=4ax$ at one end subtends a right angle at the vertex, then its slope is

Topic: CUET 2023

2

If $\sin\beta$ is the G.M. between $\sin\alpha$ and $\cos\alpha$, then $\cos2\beta$ is equal to

Topic: CUET 2023

3

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:If two…

Topic: CUET 2023

4

A 32-bit wide main memory with a capacity of $1$ GB is built using $256\text{M}\times4$ bits DRAM chips. The number of …

Topic: CUET 2023

5

If $f:\mathbb{R}\to\mathbb{R}$ is defined as $f(x)=x^2+1$, then the minimum value of $f(x)$ is

Topic: CUET 2023

6

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:An ele…

Topic: CUET 2023

7

If the curve $ay+x^2=7$ and $x^3=y$ cut orthogonally at $(1,1)$, then the value of $a$ is

Topic: CUET 2023

8

If $A_1,A_2$ be two A.M.’s and $G_1,G_2$ be two G.M.’s between $a$ and $b$, then $\dfrac{A_1+A_2}{G_1G_2}$ is equal to

Topic: CUET 2023

9

Given the following binary number in 32-bit (single precision) IEEE-754 format: $0011\ 1110\ 0110\ 1101\ 0000\ 0000\ 0…

Topic: CUET 2023

10

The H.P. of two numbers is $4$ and the arithmetic mean $A$ and geometric mean $G$ satisfy $2A+G^2=27$. The numbers are

Topic: CUET 2023

1

A 2’s-complement adder–subtracter can add or subtract binary numbers. Sign-magnitude numbers represent ______ decimal n…

Topic: CUET 2023

2

If each observation of raw data whose variance is $\sigma^2$ is multiplied by $h$, then the variance of the new set is

Topic: CUET 2023

3

Which of the following functions is differentiable at $x=0$?

Topic: CUET 2023