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3d Geometry

JEE Main 2022 (Online) 28th June Evening Shift

INTEGER+4 / -12022

Let the image of the point P(1, 2, 3) in the line \(L:{{x - 6} \over 3} = {{y - 1} \over 2} = {{z - 2} \over 3}\) be Q. Let R (\(\alpha\), \(\beta\), \(\gamma\)) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the value of 22 (\(\alpha\) + \(\beta\) + \(\gamma\)) is equal to __________.

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