List of top Mathematics Questions asked in JEE Main

\(\lim\limits_{n\rightarrow \infin}\frac{\sum(n^4-2n^3+n^2)}{\sum ((3n)^4+n^3-n^2)}\) is equal to
Let A = [1, 2, 3, 4, 5], m be the number of relations such as 4x ≤ 5y XRY and n be the minimum number of elements to be added from A × A to make a symmetric relation. Then the value of n + m.
The 315th word in dictionary arranged in order for the word ‘NAGPUR’ is
For 82x - 16.8x + 48 = 0, the sum of values of x is equal to:
\(I(x)=\int\frac{6dx}{sin^2x(1+\cot x)^2}\)and I(0) then I (\(\frac{\pi}{2}\)) 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:
If C1: (x-α)2 +(y-β)2 =r12, c2: (x-6)2+ (y - 15/2)2 = r22 touches each other at (6, 6). If line joining centres of c1 & C2 is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r12 +r22) is 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
The area bounded by y = min{sin x, cos x} and x-axis in -π ≤ x ≤ π interval is equal to (in sq. units):
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
sum of elements of 10th row,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 circle x2 + y2 = 8 and a parabola y2 = 2x are given. Find area bounded by these two curves in first quadrant which lie inside the circle and outside the parabola.
Bag X contains five one-rupee coins, four five rupee coins. Bag Y contains 4 one rupee and 5 five rupees. Bag Z contains 3 one-rupee coins and 6 five rupee coins. If 1 rupee coin is selected at random, what is the probability it is drawn from bag Y?
A triangle is drawn inside a bounded region of y2 = 2x and x = 24. Then maximum area of triangle is
A ray of light coming from (3, 1) incident on 2x + y = 6 and deflected ray passing through (7, 2). If equation of incident ray is ax + by + 1 = 0, then a2 + b2 + 3ab =
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.