1)

The equation of the plane which bisects the angle between the planes 3x - 6y + 2z + 5 = 0 and 4x - 12y + 3z- 3 = 0 which contains the origin is


A) 33x - 13y + 32z + 45 = 0

B) x - 3Y + z - 5 = 0

C) 33x + 13y + 32z + 45 = 0

D) None of these

Answer:

Option D

Explanation:

Equation of plane bisecting the angle containing origin is (making constant term of same sign)

$\frac{-3x + 6y - 2z - 5 }{\sqrt{3^{2}+6^{2}+2^{2}}}$

= $+\frac{4x - 12y + 3z- 3}{\sqrt{4^{2}+12^{2}+3^{2}}}$

or $\frac{-3x + 6y - 2z - 5 }{7}=\frac{4x - 12y + 3z- 3}{13}$

or 67x - 162y+ 47z + 44 = 0