List of top Mathematics Questions asked in IPU CET

The value of $\sin 20^\circ \times \sin 40^\circ \times \sin 60^\circ \times \sin 80^\circ$ is
The derivative of $e^{2x}\sin x$ with respect to $x$ is
If vector $\vec{a} = 2\hat{i} + m\hat{j} + \hat{k}$ and vector $\vec{b} = \hat{i} - 2\hat{j} + 3\hat{k}$ are perpendicular to each other, then the value of $m$ is
The number of ways in which the letters of the word ``APPLE'' can be arranged is
From a pack of 52 cards, two cards are drawn at random. What is the probability that both are Kings?
The slope of the tangent to the curve $y = 3x^4 - 4x$ at $x = 4$ is
If $A$ is a symmetric matrix, then the transpose of $A'$ is equal to
In a Geometric Progression (G.P.), if the third term is 4, then the product of the first 5 terms is
If the function $f(x) = x^3 - 3x^2 + 6$ is defined on the interval $[0,4]$, the maximum value is
The integration of $\log x$ with respect to $x$ is
What is the value of $i^{99}$ (where $i$ is the imaginary unit)?
The value of $\tan 75^\circ - \cot 75^\circ$ is equal to
If set $A$ has 3 elements and set $B$ has 4 elements, then the number of injective mappings from $A$ to $B$ is
Two dice are tossed. The probability that the total score is a prime number is
The value of the limit as $x$ approaches $0$ for $\frac{\sin(5x){x}$ is}
If A is a square matrix of order 3 such that the determinant $|A| = 5$, what is the value of the determinant $|2A|$?
The pair of equations \( x + 3y = 6 \) and \( 2x - 3y = 12 \) :
If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:
The value of \( x \), if \( \left| 5^2 - 4 \right| = 12x - 4 \), is:
Find the equation of circle with center at \( (2, 5) \) and radius 5 units.
If \( \sin y = x \sin(a + y) \), then \( \frac{dy}{dx} \) is:
If \( A \) is the set of even natural numbers less than 8 and \( B \) is the set of prime numbers less than 7, then the number of relations from \( A \) to \( B \) is:
If y intercept of a plane \( (x - y + z - 1) + q(x + y - z - 1) = 0 \) is 3 then q is :
The integrating factor of the differential equation \( x^2 \left(\frac{dy}{dx}\right) - xy = 1 \) is:
If \( \vec{A}, \vec{B} \) are unit vectors. If \( \vec{C} = \vec{A} + 2\vec{B} \) and \( \vec{D} = 5\vec{A} - 4\vec{B} \) are perpendicular, then angle between \( \vec{A} \) and \( \vec{B} \) is: