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

[JEE Main 2025, 2 Apr (Shift 1)]

Question

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

[JEE Main 2025, 2 Apr (Shift 1)]

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Let the vertices Q and R of the triangle PQR lie on the line \(\frac{\mathrm{x}+3}{5}=\frac{\mathrm{y}-1}{2}=\frac{\math…

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