Question

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

A
0
B
1
C
3
D
2

Solution

## The correct option is D 3Using the formula, a^3 + b^3 + c^3 = (a + b + c) (a^2 + b^2 + c^2  ab bc ca) + 3abcIf 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) 3Mathematics

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