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

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q42

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

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

\tfrac{m}{n}

, then: