List of top Mathematics Questions asked in JEE Main

If $\int \sqrt{\sec 2 x-1} d x=\alpha \log _e\left|\cos 2 x+\beta+\sqrt{\cos 2 x\left(1+\cos \frac{1}{\beta} x\right)}\right|+$ constant, then $\beta-\alpha$ is equal to_______

If the variance of the frequency distribution

x_i	Frequency f_t
2	3
3	6
4	16
5	$\alpha$
6	9
7	5
8	6

is 3 , then $\alpha$ is equal to

Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{a}|=\sqrt{14},|\vec{b}|=\sqrt{6}$ and $|\vec{a} \times \vec{b}|=\sqrt{48}$ Then $(\vec{a} \cdot \vec{b})^2$ is equal to

Area bounded by the curve 2y² = 3x and the line x+y = 3 outside the circle (x-3)² + y² = 2 and above the x-axis is A. The value of 4(π +4A) is?

If n $\in$ [10,100] and n $\in$ N, then how many such n are possible where 3n - 3 is divisible by 7?

Using all the letters of the word MATHS, then rank of the word THAMS is:

$\frac{dy}{dx}$ + $\frac{5}{x(1+x^5)}$y = $\frac{(1+x^5)^2}{x^7}$ If y(1) = 2, then the value of y(2) is:

Let mean and variance of the data 1, 2, 4, 5, x, y are 5 and 10 then the mean deviation about mean is?

If $y = max \{ {\sqrt{x}, x^2-4, x^3+2}\}$, then the number of solution(s) of y=1 is/are____?

If $x+y+z=17$ and x, y, z are non-negative integers, then find the number of integral solutions is

5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is?

Let $ S = \{ M = [a_{ij}], a_{ij} \in \{0, 1, 2\}, 1 \leq i, j \leq 2 \} $ be a sample space and $ A = \{ M \in S : M \text{ is invertible} \} $ be an event. Then $ P(A) $ is equal to:

$\frac{nC_n}{(n+1)}$ + $\frac{nC_{n-1}}{(n)}$ + ……… + ½ $nC_1$ + $nC_0$ = $\frac{255}{8}$, Then value of n is

If the number of ways in which a mixed double badminton can be played such that no couples played into a same game is 840. Then find the number of players?

Two dice are rolled and sum of numbers of two dice is N then probability that 2N < N! is m/n , where m and n are co-prime, then 11m – 3n is?

Let $y = y(x), y > 0,$ be a solution curve of the differential equation $(1 +x^2)dy = y(x−y)dx.$ If $y(0) = 1$ and $y(2√2) = β$, then

For the expression $(1-x)^{100}$. Then sum of coefficient of first 50 terms is:

Two circles having radius $r_1$ and $r_2$ touch both the coordinate axes. Line $x+y=2$ makes intercept 2 on both the circles. The value of $r_{1}^{2} + r_{2}^{2} - r_{1}r_{2}$ is:

If the value of $∫_{-0.15}^{0.15} |100x^{2}-1|dx = \frac{k}{3000}$, then the value of k is?

The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to ______.

If $ S_n = 4 + 11 + 21 + 34 + 50 + \dots $ to $ n $ terms, then $ \frac{1}{60} (S_{29} - S_9) $ is equal to:

If area bounded by region ${x, y)| |x^{2}-2| ≤ y ≤ x}$ is A, then 6A + 16$\sqrt{2}$ is?

Using the number 1, 2, 3 ... 7, total numbers of 7 digit number which does not contain string 154 or 2367 is (Repetition is not allowed)

The largest natural number $n$ such that $3^n$ divides $66!$ is:

The area of the quadrilateral having vertices as (1,2), (5,6), (7,6), (-1,-6) is?