jee-main 2015 Q81

jee-main · India · 10apr Vectors: Lines & Planes Find Cartesian Equation of a Plane

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

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

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