Question

Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane $5y+8=0$;

• A. $(0,-\frac{18}{5},2)$
• B. $(0,\frac{8}{5},0)$
• C. $(\frac{8}{25},0,0)$
• D. $(0,-\frac{8}{5},0)$

Answer 1

The correct option is D $(0,-\frac{8}{5},0)$

Given plane can be written as, $y=-\frac{8}{5}$

which is parallel to $y=0$ plane

So the perpendicular from origin to this plane will intersect on y-axis

whose $x$ and $z$ coordinate will be zero and y-coordinate will be $y=-\frac{8}{5}$

Hence required point is $(0,-\frac{8}{5},0)$