Question 119

If (a + b + c) = 0, then $$(\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab})$$ is

Solution

given (a + b + c) = 0

if (a + b + c) = 0,

$$a^{3}+b^{3}+c^{3}=3abc$$

$$\frac{a^{3}+b^{3}+c^{3}}{abc}=3$$

$$\frac{a^{3}}{abc}+\frac{b^{3}}{abc}+\frac{c^{3}}{abc}=3$$

$$\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab}=3$$

so the answer is option A.

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