defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Three Dimensional Geometry Direction ratios and Direction cosines
\(ABC\) 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:
1
\(1130\)
2
\(1348\)
3
\(1077\)
4
\(676\)