jee-main 2025 Q7

jee-main · India · session1_24jan_shift1 Vectors 3D & Lines Line-Plane Intersection
Let the line passing through the points $(-1, 2, 1)$ and parallel to the line $\frac{x-1}{2} = \frac{y+1}{3} = \frac{z}{4}$ intersect the line $\frac{x+2}{3} = \frac{y-3}{2} = \frac{z-4}{1}$ at the point $P$. Then the distance of $P$ from the point $Q(4, -5, 1)$ is
(1) 5
(2) $5\sqrt{5}$
(3) $5\sqrt{6}$
(4) 10
Let the line passing through the points $(-1, 2, 1)$ and parallel to the line $\frac{x-1}{2} = \frac{y+1}{3} = \frac{z}{4}$ intersect the line $\frac{x+2}{3} = \frac{y-3}{2} = \frac{z-4}{1}$ at the point $P$. Then the distance of $P$ from the point $Q(4, -5, 1)$ is\\
(1) 5\\
(2) $5\sqrt{5}$\\
(3) $5\sqrt{6}$\\
(4) 10