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

• A. $(2,4,1)$
• B. $(2,-4,1)$
• C. $(1,4,-1)$
• D. $(1,-4,1)$

Answer 1

The correct option is B $(2,-4,1)$

Equation of bisector of angle
$\frac{2x-y+2z-4}{3}=\pm \frac{x+2y+2z-2}{3}$
$(+)$ gives $x-3y=2$
$(-)$ gives $3x+y+4z=6$
therefore option (ii) satisfy.