Question

Let $P$ be the plane, passing through the point $(1,-1,-5)$ and perpendicular to the line joining the points $(4,1,-3)$ and $(2,4,3)$. Then the distance of $P$ from the point $(3,-2,2)$ is

• A. 6
• B. 4
• C. 5
• D. 7

Answer 1

Answer: (C)

5

Answer 2

Equation of Plane :
2(x−1)−3(y+1)−6(z+5)=0
Or 2x−3y−6z=35
⇒ Required distance =
4+9+36​∣2(3)−3(−2)−6(2)−35∣​
=5
So, the correct option is (C) : 5