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If p/a+q/b+r/c =1 and a/p+b/q+c/r =0 then (p/a)^2+(q/b)^2+(c/r)^2 =?

If p/a+q/b+r/c =1 and a/p+b/q+c/r =0 then (p/a)^2+(q/b)^2+(c/r)^2 =?

Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
Dear Student,

Using (a+b+c)2= a2+ b2+ c2+ 2(ab+bc+ca).
final answer will be -2(pqr/abc).

Thanks.

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