List of top Questions asked in JEE Main- 2026

The area (in square units) of the region \(\{(x,y): x^2 - 8x \leq y \leq -x\}\) is:

Compare the bond length x, y, and z in the following compound.

Given the nuclear reaction: \[ \text{H}_2^2 + \text{H}_1^2 \rightarrow \text{He}_4 \] Binding energy per nucleon of H\(_1^2\) and H\(_2^4\) are 1.1 MeV and 7 MeV respectively. Find energy released in the nuclear reaction given above.

The compound

is treated sequentially with: (A) Excess HI/Red P
(B) \( \text{V}_2\text{O}_5 \), 773 K
(C) Benzyl chloride/AlCl\(_3\)
Find the number of π-bonds in the final product.

If the percentage change in the radius of a sphere is \(2\%\), then find the percentage change in the volume of the sphere.

The hybridisation states of Ni in the 3 complexes Ni(CO)\(_4\), [Ni(NH\(_3\))\(_6\)]\(^{2+}\), [Ni(CN)\(_4\)]\(^{2-}\) are

Find the electric field for the given electrostatic potential field at point \(P(2,3)\): \[ V = 5(x^2 - y^2) \]

If the system shown in the figure is released from rest, find the speed of the \(6\,\text{kg}\) block just before hitting the ground. \((g = 10\,\text{m/s}^2)\)

Minimum deviation for an equilateral prism is \(30^\circ\). The refractive index of the prism material is:

If moment of inertia of rod about axis AB is equal to moment of inertia of solid sphere about an axis parallel to AB which is at 9m from AB axis as shown in the figure. If \( R = \frac{\alpha}{2} \), then find \( \alpha \).

Find the work done in expanding a soap bubble from radius \(1\,\text{cm}\) to \(2\,\text{cm}\). Surface tension is \( \gamma = 7.2 \times 10^{-2}\,\text{N/m} \).

If \(\left(2\alpha+1,\;\alpha^2-3\alpha,\;\frac{\alpha-1}{2}\right)\) is the image of \((\alpha,2\alpha,1)\) in the line \[ \frac{x-2}{3}=\frac{y-1}{2}=\frac{z}{1}, \] then the value of \(\alpha\) is:

P is a point on \[ \frac{x^2}{9}+\frac{y^2}{4}=1 \] as \(P(3\cos\alpha,2\sin\alpha)\). Q is a point on \[ x^2+y^2-14x+14y+82=0 \] R is a point on line \[ x+y=5 \] If the centroid of triangle \(PQR\) is \[ \left(\cos\alpha+2,\;\frac{2\sin\alpha}{3}+3\right) \] find the sum of possible ordinates of \(R\).

For tetrahedral complex, the correct order of energy of \(d\)-orbitals is:

The value of \( \sum_{n=1}^{10} \frac{528}{n(n+1)(n+2)} \) is equal to:

If \( \lim_{x \to 0} \frac{1 - \cos(\alpha x)\cos((\alpha + 1)x)\cos((\alpha + 2)x)}{\sin^2((\alpha + 1)x)} = 2 \), then the product of all possible values of \( \alpha \) is:

If \( f(x) \) satisfies the relation \( f\left(\frac{x+y}{3}\right) = \frac{f(x) + f(y)}{3} \) and \( f(0) = 3 \), then the minimum value of \( g(x) = 3 + e^x f(x) \) is:

Find the square of the distance of the point \( (5, 6, 7) \) from the line \( \frac{x-2}{2} = \frac{y-5}{3} = \frac{z-2}{4} \):

In the expansion of \( \left( \frac{1}{x^3} - x^4 \right)^n \), if the sum of the coefficients of \( x^7 \) and \( x^{14} \) is zero, then find \( n \):

Let \( f: A \to A \) be a function, where \( A = \{1, 2, 3, 4, 5, 6\} \). The number of one-one functions such that \( f(1) \le 3 \), \( f(3) \le 4 \) and \( f(2) + f(3) = 5 \), is:

If \( 3\sin t - 12\cos t - 3 = p \), then the sum of all integral values of 'p' such that the equation has at least one real root, is:

The value of \( \int_{0}^{\infty} \frac{\ln x}{x^2 + 4} \, dx \) is equal to: