What is the value of :

$[tan^2(90-\theta)-sin^2(90-\theta)] cosec^2(90-\theta) cot^2 (90-\theta)$

1

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

2

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

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3

If the vertices of a triangle are O(0,0), A(a,0) and B(0,a). Then, the distance between its circumcenter and orthocente…

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4

The are enclosed between the graphs of $y=x^3$ and the lines $x=0$, $y=1$, $y=8$ is:

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5

The function $f(x)= \frac{[ln(1+ax)-ln(1-b x)]}{x}$ is not defined at $x=0$. What value may be assigned to $f$ at $x=0$…

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6

Letf $f:[2,\infty)\rightarrow R$ be the function defined by $f(x)=x^2-4x+5$, then the range of $f$

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7

Let $f(x)=\, \vert{|x|}-1\vert$, then point(s) where $f(x)$ is not differentiable is (are):

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8

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one bal…

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9

The number of 7-digit numbers whose sum of the digits equals to 10 and which is formed by using the digits 1, 2, and 3 …

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10

If $A=\begin{bmatrix}{\cos B} & {-\sin B} \\ {\sin B} & {\cos B}\end{bmatrix}$ then $A+{A}^T=I$ for B equa…

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1

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

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2

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…

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3

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…

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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…

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5

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:

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6

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

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7

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…

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8

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

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9

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…

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10

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