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Question

 If a+b+c=0, the $$\frac {a^2}{bc}+\frac {b^2} {ca} +\frac {c^2}{ab}$$ is equal to _____.


A
0
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B
1
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C
3
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D
2
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Solution

The correct option is D 3
Using the formula, a^3 + b^3 + c^3 = (a + b + c) (a^2 + b^2 + c^2  ab bc ca) + 3abc
If a+b+c=0, 
then a^3 + b^3 + c^3 = 3abc
$$\frac { a^{ 3 }+b^{ 3 }+c^{ 3 } }{ abc } =3$$
$$\frac { a^{ 3 } }{ abc } +\frac { b^{ 3 } }{ abc } +\frac { c^{ 3 } }{ abc } =3$$
$$\frac {a^2}{bc}+\frac {b^2} {ca} +\frac {c^2}{ab}=3$$ 
Answer (C) 3

Mathematics

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