List of top Mathematics Questions asked in JEE Main

If ⁿ⁺¹C_r+1: ⁿC_r: ^n-1C_r-1 = 55: 35: 21 then the value of n + r is _____.

The locus of P such that the ratio of distance P from A(3, 1) and B(1, 2) is 5 : 4 is

The 315th word in dictionary arranged in order for the word ‘NAGPUR’ is

For 8^2x - 16.8^x + 48 = 0, the sum of values of x is equal to:

Let f(x) = cosx - x + 1, x ∈ [0,π], then

A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A¹³ is 3ⁿ then n equal to:

R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and \(\sum\limits_{n=1}^{m}(1+i^{n!})\) = x + iy (where i = √-1). Find x + y + m.

if \(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\) and y(0)=6 then y\(\frac{\pi}{4}\) is equal to

Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:

3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:

Number of 5 letters words made from the word “MATHEMATICS” is equal to

,Then the sum of elements of 10th row.

Two points (5, 2) and (2, a). Line passes through these points makes an angle of π/4 at origin. The product of all values of a is equal to

A triangle is drawn inside a bounded region of y² = 2x and x = 24. Then maximum area of triangle is

If |x + 1||x + 3| – 4|x + 2| + 5 = 0, then sum of squares of solutions is

If solution of differential equation xdy - ydx = xy(xdy - ydx) and y(1) = 1 is α|y| = |x|e^{(xy - β)} then (α + β) is equal to

If the complex number (1 + 2i cosθ) / (1 - 3i cosθ) is purely imaginary, then find the number of values of θ in the interval [-2π, 2π].

Given \(f(x) =   \begin{cases}     \frac{tan((a+1)x)+tanx\cdot b}{x}       & \quad x\lt 0\\     3  & \quad x=0\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}}  & \quad x\gt 0\end{cases}\) It is a continuous function at x=0, then find \(\frac{b}{a}\)

A ray of light passing through (1, 2) after reflecting on x-axis at point Q passes through R(3, 4). If S(h, k) is such that PQRS is a parallelogram, then find the value of hk².

A, B and C are given as
A = αî + 4j + 5k
B = 2î + 5j + 6k
C=A+B
|C| = | A - B |
Find the value of α and |C|² is:

If set A = { z: |z - 1| ≤ 1} and set B = { z: |z - 5i| ≤ |z - 5| }, if z = a + ib, where a, b ∈ I, then find the sum of modulus squares of A ∩ B.

What will be the remainder when (428)²⁰²⁴ is divided by 21?

If A is 3 x 3 matrix, det(3adj (2 adj A)) = 2^-13. 3^-10 and det(3adj (2A)) = 2^-m. 3^-n, then find 2m + 2n.d by 21?

If f(x) = 3ax³ + bx² + cx + 1 and f(1) = 41, f'(1) = 2 and f''(2)= 4, then find (a² + b² + c²).

If the domain of \(f(x)=\sin^{-1}(\frac{x-1}{2x+3})\) is R – (α, β] then find the value of 12αβ.