jee-main 2015 Q80

jee-main · India · 10apr Vectors 3D & Lines Line-Plane Intersection
The distance of the point $(1, 0, 2)$ from the point of intersection of the line $\frac{x-2}{3} = \frac{y+1}{4} = \frac{z-2}{12}$ and the plane $x - y + z = 16$, is:
(1) $2\sqrt{14}$
(2) $8$
(3) $3\sqrt{21}$
(4) $13$
The distance of the point $(1, 0, 2)$ from the point of intersection of the line $\frac{x-2}{3} = \frac{y+1}{4} = \frac{z-2}{12}$ and the plane $x - y + z = 16$, is:\\
(1) $2\sqrt{14}$\\
(2) $8$\\
(3) $3\sqrt{21}$\\
(4) $13$