JEE Advanced 2026 Paper 2 Mathematics Q1

Mathematics

Problem

Let a⃗\vec{a}, b⃗\vec{b} be two vectors, and let P, Q and R be the points with position vectors a⃗\vec{a}, b⃗\vec{b} and a⃗\vec{a} + b⃗\vec{b}, respectively, with respect to the origin O. If |a⃗\vec{a} + b⃗\vec{b}| = √21, |a⃗\vec{a} − b⃗\vec{b}| = 3, and a⃗\vec{a} and (a⃗\vec{a} − b⃗\vec{b}) are perpendicular to each other, then the area of the triangle OPR is

Browse the problem library