List of top Mathematics Questions asked in CUET (UG)

The equation of the circle passing through the foci of the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$ and having centre at (0, 3) is ________.

The area of the region bounded by the line $y=4$ and the curve $y=x^{2}$ is ________.

The equation $ax+by+c=0$ represents a straight line ________.

A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either Ace or a King?

Let $E_{1}$ and $E_{2}$ be two independent events. If $P(E_{1}' \cap E_{2}) = \frac{2}{15}$ and $P(E_{1} \cap E_{2}') = \frac{1}{6}$, then $P(E_{1})$ is ________.

If $\tan^{-1}x + \tan^{-1}y + \tan^{-1}z = \frac{\pi}{2}$, then ________.

If $a = \frac{2 \sin \theta}{1 + \cos \theta + \sin \theta}$, then $\frac{1 + \sin \theta - \cos \theta}{1 + \sin \theta}$ is ________.

The value of k for which the system $x+ky+3z=0$, $4x+3y+kz=0$, $2x+y+2z=0$ has non-trivial solution is:

The domain of the function defined by $f(x)=log_x 10$ is:

If $19^{th}$ term of a non-zero arithmetic progression (AP) is zero, then its ($49^{th}$ term) : ($29^{th}$ term) is ________.

Let P be any non-empty set containing p elements. Then, what is the number of relations on P?

Let det M denotes the determinant of the matrix M. Let A and B be $3 \times 3$ matrices with det A = 3 and det B = 4. Then the det (2AB) is ________.