Question

If a + b + c = 0.then what is the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ ?

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (C)

$3$

$\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$
= $\frac{a^3}{abc}+\frac{b^3}{abc}+\frac{c^3}{abc}=\frac{a^3+b^3+c^3}{abc}$
If a + b + c = 0, then $a^3+b^3+c^3=3abc=\frac{3abc}{abc}$ = $3$