NVAMediumJEE Main 2023 · 30 January, Shift 2Equation of Line in 3D

Mathematics Question from JEE Main 2023 · 30 January, Shift 2

Let a line L pass through the point P(2,3,1)P(2, 3, 1) and be parallel to the line x+3y2z2=0x + 3y - 2z - 2 = 0 i.e. xy+2z=0x - y + 2z = 0. If the distance of L from the point (5,3,8)(5, 3, 8) is α\alpha, then 3α23\alpha^2 is equal to ........

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