Question

Equation of the plane bisecting the angle between the planes $2x-y+2z+3=0$ and $3x-2y+6z+8=0$

• A. $5x-y-4z-45=0$
• B. $5x-y-4z-3=0$
• C. $23x+13y+32z-45=0$
• D. $23x-13y+32z+5=0$

Answer 1

The correct option is B $5x-y-4z-3=0$

The equation of bisector is,
$\frac{2x-y+2z+3}{\sqrt{2^2+1^2+2^2})}=\pm \frac{3x-2y+6z+8}{\sqrt{3^2+2^2+6^2}}$
$\Rightarrow 7(2x-y+2z+3)=\pm 3(3x-2y+6z+8)$
$\Rightarrow 5x-y-4z-3=0$ or $23x-13y+32z+45=0$
Hence, option 'B' is correct.