jee-advanced 2010 Q30

jee-advanced · India · paper1 Vectors: Lines & Planes Find Cartesian Equation of a Plane
Equation of the plane containing the straight line $\frac { x } { 2 } = \frac { y } { 3 } = \frac { z } { 4 }$ and perpendicular to the plane containing the straight lines $\frac { x } { 3 } = \frac { y } { 4 } = \frac { z } { 2 }$ and $\frac { x } { 4 } = \frac { y } { 2 } = \frac { z } { 3 }$ is
A) $x + 2 y - 2 z = 0$
B) $3 x + 2 y - 2 z = 0$
C) $x - 2 y + z = 0$
D) $5 x + 2 y - 4 z = 0$
Equation of the plane containing the straight line $\frac { x } { 2 } = \frac { y } { 3 } = \frac { z } { 4 }$ and perpendicular to the plane containing the straight lines $\frac { x } { 3 } = \frac { y } { 4 } = \frac { z } { 2 }$ and $\frac { x } { 4 } = \frac { y } { 2 } = \frac { z } { 3 }$ is\\
A) $x + 2 y - 2 z = 0$\\
B) $3 x + 2 y - 2 z = 0$\\
C) $x - 2 y + z = 0$\\
D) $5 x + 2 y - 4 z = 0$