List of top Questions asked in IPU CET

If $A$ is a symmetric matrix, then the transpose of $A'$ is equal to
The slope of the tangent to the curve $y = 3x^4 - 4x$ at $x = 4$ 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)?
If set $A$ has 3 elements and set $B$ has 4 elements, then the number of injective mappings from $A$ to $B$ is
The value of $\tan 75^\circ - \cot 75^\circ$ is equal to
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 $|2A|$?
If y intercept of a plane \( (x - y + z - 1) + q(x + y - z - 1) = 0 \) is 3 then q is :
Find the equation of circle with center at \( (2, 5) \) and radius 5 units.
If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:
The pair of equations \( x + 3y = 6 \) and \( 2x - 3y = 12 \) :
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:
The value of \( x \), if \( \left| 5^2 - 4 \right| = 12x - 4 \), is:
In what ratio the segment joining \( (-1, -12) \) and \( (3, 4) \) divided by x-axis?
In how many ways we can select a group of 2 males and 2 females from the family of 5 males and 3 females?
The integrating factor of the differential equation \( x^2 \left(\frac{dy}{dx}\right) - xy = 1 \) is:
If \( 4\cot^2 x - 16\cot x + 15 < 0 \) and x is real then cot x lies in the interval:
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:
The coefficient of variation of the two frequency distributions is 60% and 40% respectively. Both series have the same mean = 15. What is their standard deviation?
The number of permutations of word DEPENDENT is:
If a= (1, 1, 1), b= (x, y, z), c= (0, 1, -1) are three vectors such that \( a \cdot b = 3, a \times b = c \), then b is