JEE Main 2019 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2019

If the line intersects the plane 2x + 3y − z + 13 = 0 at a point P and the plane 3x + y + 4z = 16 at a point Q, then PQ is equal to:

Answer: (C)

Solution

P = (−1, −3, 2) (t = −1), Q = (5, 1, 0) (t = 1): PQ = √56.

Question ID VK-010197