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Let the line passing through the point \((–1, 2, 1)\) and parallel to the line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4}…

Q1

Let the line passing through the point \((–1, 2, 1)\) 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 :

[JEE Main 2025, 24 Jan (Shift 1)]

a

5

b

10

c

\(5\sqrt{6}\)

d

\(5\sqrt{5}\)

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