NVAMediumJEE Main 2023 · 31 January, Shift 1Equation of Line in 3D

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

Let the line L:x12=y+11=z31L: \frac{x-1}{2} = \frac{y+1}{-1} = \frac{z-3}{1} intersect the plane 2x+y+3z=162x + y + 3z = 16 at the point PP. Let the point QQ be the foot of perpendicular from the point R(1,1,3)R(1, -1, -3) on the line LL. If α\alpha is the area of triangle PQRPQR, then α2\alpha^2 is equal to:

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