Let ABC be a triangle with vertices at Points A(2,3,5) B(-1,3,2) and $C (λ, 5, 4)$ If the median through A is equally inclined with the axis then $λ + μ =$ ____

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answer is 17.

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Detailed Solution

$B D = D C \Rightarrow D (\frac{λ - 1}{2}, \frac{5 + 3}{2}, \frac{μ + 2}{2})$

$D R' s o f A D \Rightarrow (\frac{λ - 5}{2}, 1, \frac{μ - 8}{2}) A D i s e q u a l l y i n c l i n e d w i t h t h e a x i s \frac{λ - 5}{2} = 1 & \frac{μ - 8}{2} = 1 λ = 7, μ = 10 \Rightarrow λ + μ = 7 + 10 = 17$

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