List of top Questions asked in JEE Advanced- 2026

Let $a, b, c$ be positive integers in arithmetic progression such that the equation \[ ax^2 + bx + c = 0 \] has only integer solutions. Then which of the following statements is (are) TRUE?
The value of the definite integral \( \int_0^2 \frac{1}{3^x + 3} dx \) is
Let \(\mathbb{R}\) denote the set of all real numbers. Consider the polynomial function \[ f : \mathbb{R} \to \mathbb{R} \] defined by \[ f(x) = \frac{d^{10}}{dx^{10}}\left((x^2 - 1)^{10}\right), \qquad \text{for all } x \in \mathbb{R}. \] Here, \[ \frac{d^{10}}{dx^{10}}\left((x^2 - 1)^{10}\right) \] is the \(10^{\text{th}}\) order derivative of the function \((x^2 - 1)^{10}\). Then which of the following statements is (are) TRUE?
Let $L$ be the straight line joining the points $P(1, 2, -1)$ and $Q(2, 3, 1)$. Let $S$ be the foot of the perpendicular drawn from the point $R(4, -1, 5)$ to the line $L$. Another line passing through $R$ intersects $L$ at a point $T$ such that the point $S$ divides the line segment $PT$ internally in the ratio $|PS| : |ST| = 1 : 2$, where $|PS|$ and $|ST|$ are the lengths of the line segments $PS$ and $ST$, respectively. Then which of the following statements is (are) TRUE?
The List-I contains products obtained from the reaction of compounds in List-I with \(\mathrm{O_3/Zn-H_2O}\) followed by cyclization (via more stable enolate) in the presence of aqueous \(\mathrm{NaOH}\). Match each entry in List-I with appropriate entry in List-II and choose the correct option.

Let \(\vec{a}, \vec{b}\) be two vectors, and let \(P, Q\) and \(R\) be the points with position vectors \(\vec{a}, \vec{b}\) and \(\vec{a} + \vec{b}\), respectively, with respect to the origin \(O\). If \[ |\vec{a} + \vec{b}| = \sqrt{21}, \qquad |\vec{a} - \vec{b}| = 3, \] and \(\vec{a}\) and \((\vec{a} - \vec{b})\) are perpendicular to each other, then the area of the triangle \(OPR\) is:
Let $T$ be the tangent to the parabola $y^2 = 16x$ at the point $(64, 32)$. Let $L$ be the tangent to the same parabola at another point $(x_1, y_1)$ on the parabola. If $L$ and $T$ are perpendicular to each other, then the distance between the point $(x_1, y_1)$ and the focus of the parabola, is
Match the major products obtained in the reactions given in List-I with the corresponding structures in List-II and choose the correct option.
Consider the following species: \[ \mathrm{SOCl_2,\ XeOF_4,\ ClF_3,\ ClF_5,\ XeF_4^+,\ SO_3^{2-},\ XeF_4^+,\ SF_4} \] List-I contains different molecular shapes and List-II contains total number of species with the same molecular shapes from the given species. Match each entry in List-I and choose the correct option.

List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy \((\Delta H)\) and entropy \((\Delta S)\). Match each entry in List-I to the appropriate entry in List-II and choose the correct option.

The sum of total number of carbonyl groups \((> \mathrm{C=O})\) present in the major products \(X\) and \(Y\) in the following reactions is ____.
Treatment of buta-\(1,3\)-diyne with \(\mathrm{NaNH_2}\) (2 equivalents), followed by reaction with excess of trans-\(\mathrm{CH_3-CH=CH-CH_2-Br}\) gives \(X\) as the major product. The maximum number of carbon atoms that are collinear (in a straight line) in \(X\) is ____.
Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are \(m_1\) and \(m_2\), respectively. In the second cylinder, the masses of He and Ar are \(m_2\) and \(m_1\), respectively. The molar mass of Ar is \(10\) times the molar mass of He. The external pressure applied by the piston on the first cylinder needs to be \(5\) times that on the second cylinder so that the volume of the gas mixtures in both the cylinders are equal at the same temperature. Assuming He and Ar behave like ideal gases, the value of \(\left(\dfrac{m_1}{m_2}\right)\) is ____.
Reaction of \(\mathrm{PtF_6}\) with oxygen \((\mathrm{O_2})\) gas results in the formation of an ionic compound, \(X^+Y^-\). Correct statement(s) is(are)
In the following reaction sequence, \(Q\), \(R\), \(S\) and \(T\) are the major products. The correct statement(s) about \(Q\), \(R\), \(S\) and \(T\) is(are)
Correct statement(s) about the compounds \(X\), \(Y\) and \(Z\) is(are)
The \(2s\) and the \(2p\) orbital energies of hydrogen atom are \(E_{2s}(\mathrm{H})\) and \(E_{2p}(\mathrm{H})\), respectively. The \(2s\) and the \(2p\) orbital energies of lithium atom are \(E_{2s}(\mathrm{Li})\) and \(E_{2p}(\mathrm{Li})\), respectively. The correct option(s) about the orbital energies is(are)
Considering LiBH\(_4\) reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products \(P\), \(Q\), \(R\) and \(S\) is
The correct order of dipole moments for the given species is
For a reversible reaction \( R \rightleftharpoons P \), at constant temperature, both the forward and the backward reactions are first order elementary reactions with rate constants \( k_f \) and \( k_b \), respectively. At time zero, the concentration of \( R \) is \( [R]_0 \) and the concentration of \( P \) is zero. At any given time, \( [R] \) and \( [P] \) are the concentrations of \( R \) and \( P \), respectively. If \( k_b = 4k_f \), the correct graphical representation of the reaction is:
An ideal gas (\(0.5\) mol), initially at \(2\) bar pressure, is compressed at a constant temperature of \(600\ \text{K}\) in two steps: first, against a constant external pressure of \(P\) bar \((2 < P < 8)\), and then against constant external pressure of \(8\) bar. At each step, the compression is stopped only when the pressure of the gas becomes equal to the external pressure. The total work done on the gas in these steps is \(W\). Considering all possible values of \(P\ (2 < P < 8)\) and taking the gas constant as \(R\) (in \(\text{J K}^{-1}\text{mol}^{-1}\)), the minimum value of \(|W|\) (in J) is equal to:
List-I contains four conducting loops lying in the \(XY\) plane, as shown in the figures. The loops are rotating about \(Z\)-axis passing through the point \(O\) with time period \(T\) in clockwise direction. The region \(x>0\) contains a uniform magnetic field \(B\) in the \(+z\) direction. List-II contains the qualitative variation of the induced current \(i(t)\) for each of these loops. Choose the option which describes the correct match between the entries in List-I to those in List-II.
List-I shows four planar structures made of uniform solid rods each of mass \(m\) and length \(l\). In the List-II the possible moment of inertia of these structures about an axis \(OO'\), which lies in the plane of the structures, are given. Choose the option that describes the correct match between the entries in List-I to those in List-II.
As shown in the figure, five Carnot engines, each with efficiency \(\eta\) and same number of cycles per unit time, are operating between six heat reservoirs. The amount of heat released per cycle by one engine is completely absorbed by the next engine. Consider \(Q_0\) to be the amount of heat absorbed per cycle by the first engine and \(W\) as the amount of total work done by all the engines per cycle, then the net efficiency of the system is found to be \[ \eta_{\mathrm{net}} = \frac{W}{Q_0} = \frac{211}{243} \] The value of \(\eta\) is _______.
In the List-I, four optical effects are mentioned. The physical phenomena of light which are essential to describe these optical effects are given in List-II. Choose the option which describes the correct match between the entries in List-I to those in List-II. {p{7cm} p{6cm}} List-I & List-II
(P) Colorful sky in north polar region (Aurora Borealis) & (1) Dispersion and reflection
(Q) Partially polarized sunlight & (2) Total internal reflection
(R) Rainbow & (3) Diffraction
(S) Dark and bright fringes & (4) Scattering of light by molecules in the atmosphere
& (5) Emission of radiation from oxygen and nitrogen atoms excited by charged particles