ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C($\lambda $, 5, $\mu $). If the median through A is equally inclined to the coordinate axes, then the value of ($\lambda $3 + $\mu $3 + 5) is :

Question

ABC is a triangle in a plane with vertices

A(2, 3, 5), B(−1, 3, 2) and C($\lambda $, 5, $\mu $).

If the median through A is equally inclined to the coordinate axes, then the value of ($\lambda $³ + $\mu $³ + 5) is :