JEE Main 2025 Mathematics question

MathematicsParabolaJEE Main 2025

Let be a point on the parabola and PQ be a focal chord of the parabola. If M and N are the foot of perpendiculars drawn from P and Q respectively on the directrix of the parabola, then the area of the quadrilateral PQMN is equal to:

Answer: (3)

Solution

is the parabola. Parameters , . Computing area of trapezium PQNM gives .

Question ID VK-001745