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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 :

JEE · Math · previous-year question

  1. A.5correct
  2. B.4
  3. C.6
  4. D.7

Answer

A. 5

Explanation

Equation of Plane : $$ 2(x-1)-3(y+1)-6(z+5)=0 $$ or $2 x-3 y-6 z=35$ $\Rightarrow$ Required distance $=$ $$ \frac{|2(3)-3(-2)-6(2)-35|}{\sqrt{4+9+36}} $$ = 5

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