List of top Mathematics Questions asked in CUET (UG)

If A=(2, 3), B = (-1, 0), C = (4, 6) then area of the parallelogram ABCD is:

The value of tan(cos^-1x) is:

Which of the following is a correct statement ?

If \(A= \begin{bmatrix}1&√3&0 \\-√3&1&0 \\ 0&0&2 \end{bmatrix}\) and \(B=\begin{bmatrix}√3&1&0 \\-1&√3&0 \\ 0&0&2 \end{bmatrix}\) then AB is equal to :

Domain of function \(f(x) = cos^{-1}\sqrt {2x-1}\) is

The domain of the function f(x) = log \((x^2-4)\) is:

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

For the problem max Z = ax + by, x≥0, y ≥0, which of the following is NOT a valid constraint to make it a linear programming problem?

The maximum value of Z = 3x + 4y subject to constraint x + y ≤6, x, y ≥ 0 is:

If a discrete random variable X has the following probability distribution:

then c is:

A discrete random variable X has the following probability distribution:

X	1	2	3	4	5	6
P(X)	\(\frac{2}{k}\)	\(\frac{4}{k}\)	\(\frac{1}{k}\)	\(\frac{2}{k}\)	\(\frac{3}{k}\)	\(\frac{5}{k}\)

The value of k is:

The equation of the curve whose slope is given by \(\frac{dy}{dx}=\frac{4x}{y}\), x>0,y>0 and which passes through the point (2, 2) is: 

The sum of the order and degree of differential equation \(2x^3\left(\frac{d^2y}{dx^2}\right)^4 + \frac{d^3y}{dx^3}+y=0\) is :

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

The value of \(∫(5x-2)^3\) dx is:

If \(f(x)=-3x^2\), then f(x) is:

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:

The area of a triangle with vertices (0, -3), (0, 3) and (k, 0) is 27 sq.units. The value of k is:

If \(\begin{bmatrix} 4x & 5x-7 \\[0.3em] 4x & 2x+y\end{bmatrix}\)=\(\begin{bmatrix} x+6 & y \\[0.3em] 7y-13 & 7\end{bmatrix}\) then the value of 2x + y is:

If A = \(\begin{bmatrix} 2 & 1 \\[0.3em] 1 & 4 \\[0.3em] -1 & 6 \\[0.3em] 0&7 \end{bmatrix}\) and B= \(\begin{bmatrix} 1 & 2&3&0 \\[0.3em] 2 & -1 & 6&7\end{bmatrix}\) then

If \( 8 + 3x < |8 + 3x|, x \in \mathbb{R} \), then \( x \) lies in : 

If the cost function and revenue of x unit of an item are given by C(x)=25x²-x and R(x)=4x. Then the number of item to be produced to have maximum profit is,

If P, R, T are the areas of parallelogram. a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true?

The value of the sum of 10 term of the series
\(S_{10}=\frac{1}{2^2-1}+\frac{1}{4^2-1}+\frac{1}{6^2-1}+...\)