jee-advanced 2017 Q37

jee-advanced · India · paper2 Vectors 3D & Lines Normal Vector and Plane Equation
The equation of the plane passing through the point $( 1,1,1 )$ and perpendicular to the planes $2 x + y - 2 z = 5$ and $3 x - 6 y - 2 z = 7$, is
[A] $14 x + 2 y - 15 z = 1$
[B] $14 x - 2 y + 15 z = 27$
[C] $14 x + 2 y + 15 z = 31$
[D] $- 14 x + 2 y + 15 z = 3$
The equation of the plane passing through the point $( 1,1,1 )$ and perpendicular to the planes $2 x + y - 2 z = 5$ and $3 x - 6 y - 2 z = 7$, is

[A] $14 x + 2 y - 15 z = 1$

[B] $14 x - 2 y + 15 z = 27$

[C] $14 x + 2 y + 15 z = 31$

[D] $- 14 x + 2 y + 15 z = 3$