List of top Mathematics Questions

Let \(f(x) =   \begin{cases}     x+2       & for\ x\lt\ 1 \\     4x-1  & for\ 1\leq x \leq3 \\ x^2+5 & for\ x\gt3   \end{cases}\). Then

The domain of the function \(f(x) = (x^2-2x-63)^{\frac{3}{2}}\), x ∈ R is

Let A = {1,2,3,4,5} and let B={1,2,3,4}. If the relation R : A → B is given by (a, b) ∈ R if and only if a+b is even, then n(R) is equal to

Let the system of linear equations \[ x + 2y + z = 2, \quad \alpha x + 3y - z = \alpha, \quad -\alpha x + y + 2z = -\alpha \] be inconsistent. Then $\alpha$ is equal to:

Let
A = \(\begin{pmatrix}1 & 2\\ -2 & -5 \end{pmatrix}\)
Let \( \alpha, \beta \in \mathbb{R} \) be such that \( \alpha A^2 + \beta A = 2I \). Then \( \alpha + \beta \) is equal to 

The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$ 

If the mode of the data 2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13 is 7, then the value of k is

Which of the following cannot be determined graphically?

If a data has 25 observations (arranged in ascending order), then which of the following observations represents the median?

If the mean of the following data is k(> 0), then the value of k is

Marks	K	4	K	8	3
Frequency	K	2K	3K	4K	5K

If a card is selected at random from a deck of 52 cards, then the probability of getting a red face card is

The mean of 12 numbers is 19. If 4 is subtracted from each number, then the new mean is

A box contains 3 blue, 2 white and 4 red balls. If a ball is drawn at random from the box, what is the probability that it will not be a white ball?

Two dice are thrown together. The probability of getting the same number on both dice is

Which of the following cannot be the probability of an event?

If sec θ+ tan θ= X, then tan θ =

If two towers of heights h1 and h2 subtend angles of 45° and 30° respectively at the midpoint of the line joining their feet, then the ratio of h₁: h₂ is

If the ratio of the length of a pole and its shadow is \(1:\sqrt3\), then the angle of elevation of the sun is 

If x = a sinθ and y = b tan θ, then the value of \(\frac{a^2}{x^2}-\frac{b^2}{y^2}\) is

If tanθ+cotθ = 5, then tan²θ+ cot²θ =?

The value of tan 2°. tan 4°. tan 6°... tan 88° is

If cos A COS = \(\frac{4}{5}\) then the value of tan A is 

If a point P is 17 cm from the center of a circle of radius 8 cm, then the length of the tangent drawn to the circle from the point P is

In the given figure, O is the centre of the circle and ZAOC = 110°, then ZADC is equal to