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`

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Q 1642245133.     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:
JEE 2016 Mains 10 April
A

`1130`

B

`1348`

C

`1077`

D

`676`

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Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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