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Jee Main 2025Medium JEE math MCQ

Let the line passing through the points $(-1, 2, 1)$ and parallel to the line $\frac{x+1}{2} = \frac{y+1}{3} = \frac{z-1}{3}$ 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. A. $5$
  2. B. $5\sqrt{5}$
  3. C. $5\sqrt{6}$
  4. D. $10$

Solution

The correct option is **B**. (B. $5\sqrt{5}$)

MATH

mediumPYQ Reworded
Question
Read carefully, then pick the best option.
Let the line passing through the points (1,2,1)(-1, 2, 1) and parallel to the line x+12=y+13=z13\frac{x+1}{2} = \frac{y+1}{3} = \frac{z-1}{3} intersect the line x+23=y32=z+41\frac{x+2}{3} = \frac{y-3}{2} = \frac{z+4}{1} at the point PP. Then the distance of PP from the point Q(4,5,1)Q(4, -5, 1) is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep