Q.
Let the plane $P$ pass through the intersection of the planes $2x+3y-z=2$ and $x+2y+3z=6$, and be perpendicular to the plane $2x+y-z+1=0$. If $d$ is the distance of $P$ from the point $(-7,1,1)$, then $d^2$ is equal to :
A) $\frac{250}{83}$
B) $\frac{15}{53}$
C) $\frac{25}{83}$
D) $\frac{250}{82}$
Explanation
The correct answer is Option A: $\frac{250}{83}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.