Let $\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2), \mathrm{C}(\lambda, 5, \mu)$ be the vertices of $\triangle \mathrm{ABC}$. If the median through the vertex A is equally inclined to the coordinate axes, then

• A

  $5 \lambda-8 \mu=0$
• B

  $8 \lambda-5 \mu=0$
• Correct answer
  C

  $10 \lambda-7 \mu=0$
• D

  $7 \lambda-10 \mu=0$

Hence, the correct answer is option: 'C'.