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If a, b, c are non-zero real numbers and...

If a, b, c are non-zero real numbers and `a +b+ c= 0`, then the value of `a^2/(bc)+b^2/(ca)+c^2/(ab)` is (A) 0 (B) 2 (D) 4 (C) 3

Text Solution

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`a+b+c=0`
`a^2/(bc)+b^2/(ca)+c^2/(ab)`
`(a^3+b^3+c^3)/(abc)`
`((a+b+c)(a^2+b^2+c^2-ab-bc-ca)+3abc)/(abc)`
`(3abc)/(abc)`
`3`.
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