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If a + b + c = 0, then the value of $$\frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}}$$ is:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {\text{If }}a + b + c = 0, \cr
& {\text{then }} \Rightarrow {a^3} + {b^3} + {c^3} = 3abc \cr
& = \frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}} \cr
& = \frac{{{a^3} + {b^3} + {c^3}}}{{abc}} \cr
& = \frac{{3abc}}{{abc}} \cr
& = 3 \cr} $$
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