Let ABC be a triangle with vertices at points

Question:

Let $\mathrm{ABC}$ be a triangle with vertices at points $\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)$ and $\mathrm{C}(\lambda, 5, \mu)$ in three dimensional space. If the median through $\mathrm{A}$ is equally inclined with the axes, then $(\lambda, \mu$.) is equal to:

  1. (10,7)$

  2. $(7.5)$

  3. $(7,10)$

  4. $(5,7)$


Correct Option: , 3

Solution:

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