JEE Advanced 2026 - Paper 2

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

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

Let $y : (-\infty, \infty) \to (0, \infty)$ be the solution of the differential equation

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 $f : \mathbb{R} \to \mathbb{R}$ de

Let $a, b, c$ be positive integers in arithmetic progression such that the equation $ax^2 + bx + c = 0$ has only integ

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

Let $y = f(x)$ be the real valued function defined on the interval $(0, \infty)$, satisfying $y(1) = 0$ and the differen

Let $\mathbb{R}$ denote the set of all real numbers and let $i = \sqrt{-1}$. Consider the matrices

Let $\mathbb{N}$ denote the set of all positive integers. Consider the sets

A bookshelf contains 6 distinct books of Mathematics and 5 distinct books of Physics. From these 11 books, 6 books are c

Consider a data consisting of 10 observations $x_1, x_2, \dots, x_{10}$, whose mean is 5 and variance is 7. If the mean

Consider the ellipse $E$ given by $\frac{x^2}{18} + \frac{y^2}{12} = 1$. Let $H$ be the hyperbola whose eccentricity is

For a real number $\alpha$, let $[\alpha]$ denote the greatest integer less than or equal to $\alpha$. For a finite set

The value of $n$ is

Let $\beta$ be the area of the region enclosed between the curves $C_1, C_2$, and the lines $x = \alpha_1$ and $x = \alp

Let $P$ be the point in the first quadrant where the given ellipses intersect. If $\theta$ is the acute angle between th

If $\alpha$ is the area of the common region that lies inside both the given ellipses, then the value of $\cot \alpha$ i