jee-main 2015 Q89

jee-main · India · 04apr Vectors: Lines & Planes Find Cartesian Equation of a Plane

The equation of the plane containing the line of intersection of $2 x - 5 y + z = 3 ; x + y + 4 z = 5$, and parallel to the plane, $x + 3 y + 6 z = 1$, is
(1) $2 x + 6 y + 12 z = - 13$
(2) $2 x + 6 y + 12 z = 13$
(3) $x + 3 y + 6 z = - 7$
(4) $x + 3 y + 6 z = 7$

The equation of the plane containing the line of intersection of $2 x - 5 y + z = 3 ; x + y + 4 z = 5$, and parallel to the plane, $x + 3 y + 6 z = 1$, is\\
(1) $2 x + 6 y + 12 z = - 13$\\
(2) $2 x + 6 y + 12 z = 13$\\
(3) $x + 3 y + 6 z = - 7$\\
(4) $x + 3 y + 6 z = 7$

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