Question

If the line through $P$ perpendicular to ${\pi }_1$ meets the plane ${\pi }_2$ in the point $Q$, then the coordinates of the mid-point of $PQ$ are

• A. $(1,2,3)$
• B. $(3,6,9)$
• C. $(2,3,4)$
• D. $(2,4,6)$

Answer 1

The correct option is D $(2,4,6)$

$L:\frac{x+1}{2}=\frac{y+1}{3}=\frac{z+1}{4}$

${\pi }_1:x+2y+3z=14,{\pi }_2:2x-y+3z=27$

If the line through $P$ perpendicular to ${\pi }_1$ meets the plane ${\pi }_2$ in the point $Q$,

then the coordinates of the mid-point of $PQ$ are $(2,4,6)$