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If the image of the point \(\mathrm{P}(1,0,3)\) in the line joining the points \(\mathrm{A}(4,7,1)\) and \(\mathrm{B}(3,…

Q1

If the image of the point \(\mathrm{P}(1,0,3)\) in the line joining the points \(\mathrm{A}(4,7,1)\) and \(\mathrm{B}(3,5,3)\) is \(Q(\alpha ,\beta ,\gamma )\), then \(\alpha +\beta +\gamma\) is equal to

[JEE Main 2025, 2 Apr (Shift 2)]

a

\(\frac{47}{3}\)

b

\(\frac{46}{3}\)

c

\(18\)

d

\(13\)

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