Question 6

Added on: Sep 19, 2026

MCQMEDIUM

A straight line drawn from the point $P(1, 3, 2)$ , parallel to the line $\frac{x-2}{1} = \frac{y-4}{2} = \frac{z-6}{1}$ , intersects the plane $L_1 : x - y + 3z = 6$ at the point $Q$ . Another straight line which passes through $Q$ and is perpendicular to the plane $L_1$ intersects the plane $L_2 : 2x - y + z = -4$ at the point $R$ . Then which of the following statements is (are) TRUE?

(A)

The length of the line segment $PQ$ is $\sqrt{6}$

(B)

The coordinates of $R$ are $(1, 6, 3)$

(C)

The centroid of the triangle $PQR$ is $(\frac{4}{3}, \frac{14}{3}, \frac{5}{3})$

(D)

The perimeter of the triangle $PQR$ is $\sqrt{2} + \sqrt{6} + \sqrt{11}$

Question 6

Detailed Solution

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