jee-main 2014 Q88

jee-main · India · 09apr Vectors: Lines & Planes Find Cartesian Equation of a Plane

Equation of the plane which passes through the point of intersection of lines $\frac { x - 1 } { 3 } = \frac { y - 2 } { 1 } = \frac { z - 3 } { 2 }$ and $\frac { x - 3 } { 1 } = \frac { y - 1 } { 2 } = \frac { z - 2 } { 3 }$ and has the largest distance from the origin is:
(1) $4 x + 3 y + 5 z = 50$
(2) $3 x + 4 y + 5 z = 49$
(3) $5 x + 4 y + 3 z = 57$
(4) $7 x + 2 y + 4 z = 54$

Equation of the plane which passes through the point of intersection of lines $\frac { x - 1 } { 3 } = \frac { y - 2 } { 1 } = \frac { z - 3 } { 2 }$ and $\frac { x - 3 } { 1 } = \frac { y - 1 } { 2 } = \frac { z - 2 } { 3 }$ and has the largest distance from the origin is:\\
(1) $4 x + 3 y + 5 z = 50$\\
(2) $3 x + 4 y + 5 z = 49$\\
(3) $5 x + 4 y + 3 z = 57$\\
(4) $7 x + 2 y + 4 z = 54$

Paper Questions

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