A plane which bisects the angle between the two given planes 2x-y+2z-4=0 and x+2y+2z-2=0, …

Question

A plane which bisects the angle between the two given planes $2x-y+2z-4=0$ and $x+2y+2z-2=0$, passes through the point:

Accepted Answer

Planes bisecting the given planes are

$${{2x - y + 2z - 4} \over 3} =  \pm {{x + 2y + 2z - 2} \over 3}$$

$$ \Rightarrow $$ x - 3y = 2 or 3x + y + 4z = 6

Out of the four given points in question's options only (2, -4, 1) lies on the plane 3x + y + 4z = 6

Solutions · 1