List of top Mathematics Questions asked in CUET (UG)

The value of \(\int_1^4|x-1|dx \)  is :

The area of the region bounded by the curve \( 2y=3x-6\), y-axis and the line y=2 and y = −3 is :

A pair of dice is thrown 3 times. If getting a doublet is considered a success, then the probability of two successes is :

Match List - I with List - II.

List - I	List -II
(A) \(P(\overline{A} \cap B)\)	(I)\(P(A)+P(B)\)
(B)\(P(A\cap \overline B)\)	(II)\(P(A)+P(B)-2P(A\cap B)\)
(C) \(P[(A\cap \overline B) \cup (\overline A \cap B)]\)	(III)\(P(B)-P(A\cap B)\)
(D)\(P(A\cup B)+ P(A\cap B)]\)	(IV)\(P(B)-P(A\cap B)\)

Choose the correct answer from the options given below:

The value of objective function is maximum under linear constraints is

The feasible region of an LPP is shown in the figure below.
If \( z=3x+9y\), then the minimum value of \(z\) occurs at :

If \(f(x)=e^x\) and \(g(x)=log_{e}{x}=lnx  \) then \((gof)(x) \) is

The region R on the set \(A=\{x \in Z:0\leq x\leq 12\}\) , given by \(R=\{(a,b):|a-b|\)  is a multiple of 4 \(\}\)  is :

The value of \(sin^{-1} [cos(sin^{-1}\frac {\sqrt{3}}{2})]\) is:

\(2\tan^{-1} \frac12+\tan^{-1}\frac 17=\tan^{-1}x\), then the value of \(x\) is:

If \(\begin{bmatrix}      1 & 2  \\[0.3em]    3  &4  \end{bmatrix}\)\(\begin{bmatrix}      3& 1  \\[0.3em]    2  &5  \end{bmatrix}\)\(=\begin{bmatrix}      7 & 11  \\[0.3em]    K&23  \end{bmatrix}\),then the value of k is

If \(A=\begin{pmatrix}     1 & -2 & 3  \\[0.3em]   4 & 2 &5 \end{pmatrix}\) and \(A=\begin{pmatrix}     1 & 3   \\[0.3em]   4 & 5  \\[0.3em]   2&1 \end{pmatrix}\)and \(BA=(b_{ij})\),then \(b_{21}+b_{32}=\)

If \(\begin{bmatrix}      1 & 3 & 5          \\[0.3em]      1 & 0   &3 \\[0.3em]        0 &1 &0      \end{bmatrix}\),then \(|(adjA)| \) is:

The value of \(K\),If \(\begin{bmatrix}    1 & K & 3          \\[0.3em]        3 & K   & -2 \\[0.3em]  2  & 3 & -1      \end{bmatrix}=33\),is :

The value of det\((A^2-2A)\),If \(A=\begin{pmatrix}      1 & 3  \\[0.3em]    2  &1  \end{pmatrix}\),is

If \(\begin{bmatrix}        x+4 & 2x & 2x           \\[0.3em]        2x & x+4           & 2x\\[0.3em]        2x   & 2x & x+4      \end{bmatrix}=\lambda(4-x)^2\),then value of \(\lambda \) is

for which value of \(\lambda\) is the function ,\(f(x) = \begin{cases} \lambda(x^2-2x) & \text{if } x \leq 0 \\ 4x+1& \text{if } x > 0 \end{cases}\) continuous at \(x=0 ?\)

The derivative \(\frac{\mathrm dy}{\mathrm d x}\) ,if \(x=a(\theta -sin\theta),y=a(1+cos\theta)\) is :

If \(y=sin^{-1}x \) and \((1-x^2)\frac{d^2y}{dx^2} -x \frac{dy}{dx}=K\),then value of K is:

If \(y=log[\frac{x^2}{e^2}]\) then value of \(\frac{d^2y}{dx^2}\) is:

The condition on a and b, such that for \(y = \frac{a}{x}-\frac{b}{x²}\), \(\frac{dy}{dx} =0\) at x=1 is:

The interval in which the function \(f(x) = 10-6x-2x²\) is decreasing is:

Area of the region bounded by the curve |x|+|y|=1 and x-axis is :

The value of the integral \(\int\limits_2^4 \frac{x}{x^2+1} dx\) is:

The sum of order and degree of the differential equation\[\frac{\{1+(\frac{dy}{dx})^2\}^\frac{5}{2}}{\frac{d^2y}{dx^2}}=p\]is: