JEE Main 2025 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2025

Let P be the image of the point Q(7, -2, 5) in the line L : and R(5, p, q) be a point on L. Then the square of the area of PQR is

Answer: 957

Solution

R = (5,5,8), foot of perpendicular T = (3,2,4), QT = √33, RT = √29. Area² = (1/2·√29·2√33)² = 957.

Question ID VK-002064