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3D Geometry question

2024 · 8 Apr · Shift 2 · Q55
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  5. /2024 · 8 Apr · Shift 2 · Q55

3D Geometry question

2024 · 8 Apr · Shift 2 · Q55

JEE MainMathematics3D GeometryNumerical+4 / −1
Let P(α,β,γ)\mathrm{P}(\alpha, \beta, \gamma)P(α,β,γ) be the image of the point Q(1,6,4)\mathrm{Q}(1,6,4)Q(1,6,4) in the line x1=y−12=z−23\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}1x​=2y−1​=3z−2​. Then 2α+β+γ2 \alpha+\beta+\gamma2α+β+γ is equal to ‾\underline{\hspace{2cm}}​
Numerical answer
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