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If (x-a)/(b+c)+(x-b)/(c+a)+(x-c)/(a+b)=3...

If `(x-a)/(b+c)+(x-b)/(c+a)+(x-c)/(a+b)=3` then value of `x` is

A

0

B

1

C

`a+b+c`

D

abc

Text Solution

Verified by Experts

The correct Answer is:
C
`(x-a)/(b+c)+(x-b)/(c+b)+(x-c)/(a+b)=1`
Such an equation is possible only, if
`(x-a)/(b+c)=(x-b)/(c+b)=(x-c)/(a+b)=1`
`impliesx=a+b+c`
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