List of top Questions asked in JEE Main- 2026

The dimension of $\frac{1}{2} \epsilon_0 E^2$ is $M^a L^b T^c$ then value of $a - 2b + c = ?$

Select the quantity with matching dimensions of \( ML^2 T^{-4} A^{-2} \).

Given, \[ k = Ae^{\frac{2800}{T}} \] Find activation energy.

One mole of Cl$_2$(g) was passed into 2 L of cold 2 M KOH solution. After the reaction, the concentrations of Cl$^-$, ClO$^-$ and OH$^-$ are respectively (assume volume remains constant)

10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from \( P_1 \) to \( P_2 \) is \( \alpha \) Joule \((P_1 = 21.7 \text{ Pa}, P_2 = 30 \text{ Pa}, C_v = 21 \text{ J/K mol}, R = 8.3 \text{ J/mol K})\). The value of \( \alpha \) is ________.

If $\vec{a}_R = \tan \theta_R \hat{i} + \hat{j}$ and $\vec{b}_R = \hat{i} - \cot \theta_R \hat{k}$ where $\theta_R = \frac{2^{R-1} \pi}{2^N + 1}$, then the value of $\frac{\sum_{R=1}^N |\vec{a}_R|^2}{\sum_{R=1}^N |\vec{b}_R|^2}$ is

Let \(f(x+y) = f(x) f(y)\), \(f(0) \neq 0\). If \(x^2 g(x) = \int_0^x (t^2 f(t) + t g(t)) \, dt\), then \(g(2)\) is equal to

Let a hyperbola be \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\) and ellipse be \(\frac{x^2}{9} + \frac{y^2}{8} = 1\). If length of latus rectum of hyperbola is equal to minor axis of ellipse and eccentricity of hyperbola is equal to semi-major axis of ellipse, then \(2ae\) is equal to (where 'e' is the eccentricity of hyperbola)

The line \(x - y = 4\) is a chord of the circle \((x - 4)^2 + (y + 3)^2 = 9\), which cuts the circle at points Q & R. If \(P(\alpha, \beta)\) lies on the circle such that \(PQ = PR\), then find \((6\alpha + 8\beta)^2\).

If \(\alpha\) and \(\beta\) are the roots of the equation \(z^2 - \sqrt{6}i z - 3 = 0\), then find \(\alpha^8 + \beta^8\).

The shortest distance between the lines \(\frac{x-3}{-1} = \frac{y-2}{4} = \frac{z-1}{2}\) and \(\frac{x-1}{2} = \frac{y-1}{1} = \frac{z-2}{5}\) is:

A bag contains 6 Red and 6 black balls. 6 pair of balls are selected one by one without replacement then the probability that each of the 6 pairs contains 1 red and 1 black ball.

Consider the observations: 2, 4, \(\alpha\), \(\beta\), 6, 12, 14. If their mean is 8 and variance = 16, then the quadratic equation whose roots are \(3\alpha + 2\) and \(2\beta + 1\), is

If system of equations \(x \cos \theta - 8y - 12z = 0\), \(x \cos 2\theta + y + 3z = 0\), \(x + y + 3z = 0\) has non-trivial solution, then find sum of values of \(\theta\) (where \(\theta \in [0, 2\pi]\)).

Let \(\vec{a} = 2\hat{i} + 3\hat{j} + 3\hat{k}\), \(\vec{b} = 6\hat{i} + 3\hat{j} + 3\hat{k}\). If \(2\vec{a} + 3\vec{b}\) and \(\vec{a} - \vec{b}\) are two adjacent sides of a triangle then square of area of the triangle is

An ellipse has directrix \(x = 9\) & eccentricity \(= \frac{1}{3}\). If one of its focus is \((\alpha,0)\), \(\alpha<0\), then locus of the mid-point of the chord passing through \(P(\alpha,0)\) is

Let \(x = 9\) be a directrix of an ellipse centred at \((0, 0)\) and having eccentricity \(\frac{1}{3}\). If focus at \((\alpha, 0)\) (\(\alpha<0\)), then locus of the mid-point of the chord passing through the focus \((\alpha, 0)\) is

A lift of a 10 floor building contains 9 persons and group of 4 and 5 leave the lift on different floor and there is no stoppage of lift at 1st and 2nd floor, then find number of ways this can be done.

Statement - I: \(\text{Ph-O-CH}_2\text{Ph} \xrightarrow[\text{HI}]{\Delta}\) Product is mixture of benzyl alcohol and iodobenzene.
Statement - II: \(\text{Ph-O-CH}_2\text{Ph}\), O-CH\(_2\) bond cleavage takes place during reaction with HI.

Let \((n^2 - 2n + 2)x^2 - 3x + (n^2 - 2n + 2)^2 = 0\) be a quadratic equation. If \(\alpha\) is the minimum value of product of roots and \(\beta\) is the maximum value of sum of roots, then the sum of first six terms of geometric progression whose first term is \(\alpha\) and common ratio is \(\left(\frac{\alpha}{\beta}\right)\), is

\(\int_{-1}^{1} \frac{x^3 + |x| + 1}{x^2 + |x| + 1} \, dx\) is equal to

Count the total number of electrons present in lone pair and \( \pi \) bond.

Compare the bond length X, Y and Z in the following compound
Where: (X) is the C=O bond, (Y) is the C-O bond between carbonyl group and oxygen, (Z) is the C-O bond between the oxygen and the methyl group.

Which of the following test will give confirmation of functional group in (D)?