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JEE Math Practice Question

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 :

  1. A.$\frac{46}{3}$
  2. B.18
  3. C.13
  4. D.$\frac{47}{3}$

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