\( A B C \) is a triangle in a plane with vertices \( \mathrm{P} \)...

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\( A B C \) is a triangle in a plane with vertices
\( \mathrm{P} \) \( A(2,3,5), B(-1,3,2) \) and \( C(\lambda, 5, \mu) \). If the median

W through \( A \) is equally inclined to the coordinate axes, then the value of \( \lambda^{3}+\mu^{3}+5 \) is
(1) 676
(2) 1130
(3) 1348
(4) 1077
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