If $\vec{a}$, $\vec{b}$, $\vec{c}$ and $\vec{d}$ are the unit vectors such that $(\vec{a} \times \vec{b}).(\vec{c} \times \vec{d})=1$ and $(\vec{a}.\vec{c})=\frac{1}{2}$, then
Previous 10 Questions — CUET 2022
Nearest first
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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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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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If $A+B=45{^{\circ}}$, then $(1+tanA)(1+tanB)$ is equal to:
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What is the value of :$[tan^2(90-\theta)-sin^2(90-\theta)] cosec^2(90-\theta) cot^2 (90-\theta)$
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If one of the lines of $ax^2+2hxy+by^2=0$ bisects the angle between the axes in the first quadrant, the
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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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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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The are enclosed between the graphs of $y=x^3$ and the lines $x=0$, $y=1$, $y=8$ is:
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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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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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Next 10 Questions — CUET 2022
Ascending by ID
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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
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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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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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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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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Given below are two statements: Statement I : If $A\subset B$ then B can be expressed as $B=A\cup(\overline{A}\cap…
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Given the following truth table: AB X 001010 100 110Which of the following Boolean functions d…
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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}|…
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The product of two four bit positive binary numbers 1011 and 0011 is
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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
