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3D Geometry question

2024 · 4 Apr · Shift 2 · Q59
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3D Geometry question

2024 · 4 Apr · Shift 2 · Q59

JEE MainMathematics3D GeometryNumerical+4 / −1
Consider a line L\mathrm{L}L passing through the points P(1,2,1)\mathrm{P}(1,2,1)P(1,2,1) and Q(2,1,−1)\mathrm{Q}(2,1,-1)Q(2,1,−1). If the mirror image of the point A(2,2,2)\mathrm{A}(2,2,2)A(2,2,2) in the line L\mathrm{L}L is (α,β,γ)(\alpha, \beta, \gamma)(α,β,γ), then α+β+6γ\alpha+\beta+6 \gammaα+β+6γ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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