List of top Mathematics Questions asked in JEE Main

When 4 dice are rolled, then the probability of 16 as a sum is:

Let f(x) = $x^2 - 5x$ and $g(x) = 7x - x^2$, then the area between the curves equals to:

$∫_{-\pi}^{\pi} \frac{2x(1+sinx)}{1+cos^2x}dx $ is equal to?

If $\frac{dy}{dx} +2y = sin 2x$ and $y(0) = \frac{3}4$ , then $y (\frac{π}{8})$ is equal to:

If $f(x)= x^5 + 2x^3 + 3x + 1$ and $g(f(x)) = x,$ then $\frac{g(1)}{g’(1)}$ is equal to

Consider the equation ax² + bx + c = 0 . Find probability if a, b, c ∈ A where A = {1,2,3, ... , 8} that the equation has equal roots.

If y=\(\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}\), Then value of y''+y'+y is

If S = {2, 4, 8, 16, ..., 512}. If S is broken in 3 equal subsets A, B and C such that A∩B = B∩C = C∩A = φ and A∪B∪C = S then maximum number of ways to break is

A line L is perpendicular to y = 2x + 10 such that it touches the parabola y² = 4(x – g). Then the distance between point of contact and origin is equal to

Consider a equation  P(x)= ax² + bx + c =0. If a,b,c ∈ A, were A = {1, 2, 3, 4, 5, 6} . Then the probability that P(x) has real and distinct roots?

A=\(\begin{bmatrix}   \alpha & \alpha & \alpha \\   \beta & \alpha & -\beta \\   -\alpha & \alpha & \alpha  \end{bmatrix}\)B is formed by co-factor of A matrix, then find out determinant of AB.

If |a| = 2, |b| = 3 and a = b × 2, then minimum value of \(|\hat{c} - a|^2\) is:

Area bounded by y = -2|x| and y = x|x| is:

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.

The number of real solution x|x + 5| + 2|x + 7| - 2 = 0 is

Let 4^1+x + 4^1-x, \(\frac{k}{2}\), 16^x + 16^-x are in A. P. then least value of k is____

\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.

The 50^th word in the dictionary using the letters B, B, H, J, O is:

If \(\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,\)then the maximum value of a sinx + bcosx is____

Find the range of \(\frac{1}{7}-\sin5x\)

If α, ß are the roots of the equation x² - √2 x - 8 = 0 and A_n = αⁿ + ßⁿ, n ∈ N, then the value of (A₁₀ - √2A₉) / 2A₈

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

Sides of a triangle are AB = 9, BC = 7, AC = 8. Then cos 3C equals to

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

If the orthocentre of triangle formed by (8, 3), (5, 1) and (h, k) is (6, 1), then (h, k) lie on