JEE Main 2019 Mathematics question
A perpendicular is drawn from a point on the line to the plane such that the foot of the perpendicular Q also lies on the plane . Then the co-ordinates of Q are:
Answer: (B)
Solution
P(2λ+1, −λ−1, λ); foot on x+y+z = 3: Q = P − (1,1,1). Q on both planes ⇒ y = 0 ⇒ λ = 0, Q = (2, 0, 1).