JEE Main 2019 Mathematics question
Let P be the plane, which contains the line of intersection of the planes, x + y + z − 6 = 0 and 2x + 3y + z + 5 = 0 and it is perpendicular to the xy-plane. Then the distance of the point (0, 0, 256) from P is equal to:
Answer: (B)
Solution
z-coefficient zero ⇒ λ = −1: x + 2y + 11 = 0; distance = 11/√5.