Let the vertices Q and R of the triangle PQR lie on the line (x+3… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 2 April, Shift 1Equation of Line in 3D

Let the vertices $Q$ and $R$ of the triangle $PQR$ lie on the line $\frac{x+3}{5} = \frac{y-1}{2} = \frac{z+4}{3}$ , $QR = 5$ , and the coordinates of the point $P$ be $(0, 2, 3)$ . If the area of the triangle $PQR$ is $\frac{m}{n}$ , then:

A
$m - 5\sqrt{21}n = 0$
B
$2m - 5\sqrt{21}n = 0$
C
$5m - 2\sqrt{21}n = 0$
D
$5m - 21\sqrt{2}n = 0$

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