Q.

ABC is a triangle in a plane with vertices A (2, 3, 5), B = (-1, 3, 2) and Cλ,5,μ. If the median through ‘A’ is equally Inclined to the co-ordinate Axes then the value of λ3+μ3+5=____

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answer is 1348.

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Detailed Solution

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D is midpoint of  BC¯

i.e   D=B+C2=λ12,4,μ+22

Dr’s of  AD¯  are  λ52,1,μ82

Median is making equal angles with coordinate axes:

λ52=1=μ82

   λ=7,   μ=10

    λ3+μ3+5=1348

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