Question

If $a+b+c=0$, then the value of $\frac{a^2}{bc}+\frac{b^2}{ac}+\frac{c^2}{ab}$ is

• A. 1
• B. 0.0
• C. -1
• D. 3

Answer 1

The correct option is D 3

$a+b+c=0\Rightarrow a^3+b^3+c^3=3abc$
$\therefore \frac{a^3}{abc}+\frac{b^3}{abc}+\frac{c^3}{abc}=3$
$\Rightarrow \frac{a^2}{bc}+\frac{b^2}{ac}+\frac{c^2}{ab}=3$