List of top Mathematics Questions asked in JEE Main

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______.

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

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:

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 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 \(\frac{1}{(1+d)(1+2d)}+\frac{1}{(1+2d)(1+3d)}+...+\frac{1}{(1+9d)(1+10d)}=1,\) then the value of 50d is____. (d > 0)

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].

Let 'd' be the perpendicular distance from the centre of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}$= 1 to the tangent drawn at a point P on the ellipse. If F1 and F are two foci of the ellipse, then (PF1 - PF)²  is equal to;

The value of $\frac{1\times 2^2+2\times3^2+...+100\times (101)^2}{1^2 \times 2\times2^2 \times3+...+100^2 \times 101}$

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

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

Let $x=(8 \sqrt{3}+13)^{13}$ and $y=(7 \sqrt{2}+9)^9$ If $[t]$ denotes the greatest integer $\leq t$, then

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

The angle $\theta$ between the vectors $\overrightarrow{a}=5\hat{i}-\hat{j}+\hat{k}$ and $\overrightarrow{b}=\hat{i}+\hat{j}-\hat{k}$ is:

Let $A=\left(\begin{array}{ccc}0& 2q& r\\ p& q& -r\\ p& -q& r\end{array}\right)$. If $A{A}^T=I_3$, then $|p|$ is:

If an be the $n^{\text{th }}$ term of the GP of positive numbers. Let $\sum _{n=100}^{100}{a}_{2n}=\alpha$ and $\sum _{n=1}^{100}{a}_{2n-1}=\beta$ such that $\alpha \ne \beta$ then the common ratio is:

A tower stands at the center of a circular park. $A$ and $B$ are two points on the boundary of the park such that $AB=a$ subtends an angle ${60}^{\circ }$ of at the foot of the tower and the angle of elevation of the top of the tower from $A$ or $B$ is ${30}^{\circ }$. The height of the tower is

If sin $5x+\sin 3x+\sin x = 0$, then the value of x other than zero, lying between π$0\le \times \le \frac{\mathrm{\pi }}{2}$ is;

If the angle $\theta$ between the line $\frac{x+1}{1}=\frac{y-1}{2}=\frac{z-2}{2}$ and the plane $2x-y+\sqrt{\lambda z}+4=0$ is such that $\sin \theta =\frac{1}{3},$ then value of $\lambda$ is

Let $R$ be a relation on $R$, given by $R=\{(a, b): 3 a-3 b+\sqrt{7}$ is an irrational number $\}$Then $R$ is