Question

Consider the lines L₁ and L₂ given by

\(L_1:\frac{x-1}{2}=\frac{y-3}{1}=\frac{z-2}{2}\)

\(L_2:\frac{x-2}{1}=\frac{y-2}{2}=\frac{z-3}{3}\)

A line L₃ having direction ratios 1, –1, –2, intersects L₁ and L₂ at the points P and Q respectively. Then the length of line segment PQ is

(1) \(2\sqrt{6}\)

(2) \(3\sqrt{2}\)

(3) \(4\sqrt{3}\)

(4) 4

Answer 1

Correct option is (1) \(2\sqrt{6}\)