List of top Questions asked in CUET (UG)

Area lying between the curves \(y^2 = 9x\) and y = 3x is:

Area lying in first quadrant and bounded by the circle \(x^2+ y^2 = 9\) and the lines x = 1 and x = 3 is:

The equation of the normal to the curve y = 2sinx at (0, 0) is:

The function \(f(x)= \frac{x^4}{4}-\frac{x^2}{2}\) has

The value of \(\int\limits_{-1}^1x^2 [x] dx\) is:

The value of \(\int\limits_{-3}^2x^2 |2x| dx\) is:

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

The derivative of \(f (cot x)\) with respect to \(g (cosec x)\) at \(x=\frac{π}{4}\) (where \(f'(1)=2.g'(\sqrt2)=4\)) is:

If \(x = e^{y+e^y+.... to \space ∞}, x> 0\) then \(\frac{d^2y}{dx^2}\) is:

The value of the determinant \(\begin{vmatrix}cos^2θ&cosθsinθ&0 \\-sinθ&cosθ&0 \\ 0&0&1 \end{vmatrix}\) is equal to

The values of b for which the function f(x) = cos x + bx+ a decreases on R are

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

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 :

If A=\(\begin{bmatrix} 2&3 \\ -1&1\end{bmatrix}\)and \(A^2-3A+kI = 0\) then the value of k is:

If the matrix \(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\) is skew-symmetric, then values of x and y are respectively

Which of the following is a correct statement ?

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

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

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

then c is:

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

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

A random variable has the following probability distribution

The value of P(X <3) is:

If \(\frac{d}{dx}(2\frac{d^2y}{dx^2})^3= 7\), then the sum of order and degree of the differential equation is: