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Q.

A=(2, 3, 5); B=(-1, 3, 2); C = (λ,5,μ) are the vertices of a triangle. If the median AM is equally inclined to the coordinate axes, then (λ,μ)

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a

(10,7) 
 

b

(–10,7) 
 

c

(7,10) 
 

d

(–7,–10) 
 

answer is C.

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Detailed Solution

D=mid point of BC=λ-12, 4, M+22 AD=λ-12-2, 4-3, M+22-5 given equally inclined coordinate axes  x-52=1=M-82  λ=7  M=10

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A=(2, 3, 5); B=(-1, 3, 2); C = (λ,5,μ) are the vertices of a triangle. If the median AM is equally inclined to the coordinate axes, then (λ,μ)