JEE Math Practice Question

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

1. A.$2 \mathrm{~m}-5 \sqrt{21} \mathrm{n}=0$
2. B.$\mathrm{m}-5 \sqrt{21} \mathrm{n}=0$
3. C.$5 \mathrm{~m}-21 \sqrt{2} \mathrm{n}=0$
4. D.$5 \mathrm{~m}-2 \sqrt{21} \mathrm{n}=0$