JEE Main 2023 · 25 Jan · Shift 1

JEE Main 2023 Mathematics question on Three Dimensional Geometry

Consider the lines L1L_1 and L2L_2 given by

L1:x−12=y−31=z−22L_1 : \frac{x-1}{2} = \frac{y-3}{1} = \frac{z-2}{2}

L2:x−21=y−22=z−33L_2 : \frac{x-2}{1} = \frac{y-2}{2} = \frac{z-3}{3}

A line L3L_3 having direction ratios 1,−1,−21, -1, -2, intersects L1L_1 and L2L_2 at the points PP and QQ respectively. Then the length of line segment PQPQ is
  1. A.
    262\sqrt{6}
  2. B.
    44
  3. C.
    323\sqrt{2}
  4. D.
    434\sqrt{3}
Show answer

Correct option: A

[JEE Main 2023 · 25 Jan · Shift 1]

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