jee-advanced 2016 Q42

jee-advanced · India · paper2 Vectors 3D & Lines Normal Vector and Plane Equation

Let $P$ be the image of the point $( 3,1,7 )$ with respect to the plane $x - y + z = 3$. Then the equation of the plane passing through $P$ and containing the straight line $\frac { x } { 1 } = \frac { y } { 2 } = \frac { z } { 1 }$ is
(A) $x + y - 3 z = 0$
(B) $3 x + z = 0$
(C) $x - 4 y + 7 z = 0$
(D) $2 x - y = 0$

Let $P$ be the image of the point $( 3,1,7 )$ with respect to the plane $x - y + z = 3$. Then the equation of the plane passing through $P$ and containing the straight line $\frac { x } { 1 } = \frac { y } { 2 } = \frac { z } { 1 }$ is\\
(A) $x + y - 3 z = 0$\\
(B) $3 x + z = 0$\\
(C) $x - 4 y + 7 z = 0$\\
(D) $2 x - y = 0$

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