Question

If a + b + c = 0, then find the value of : \(\frac{a^2}{a^-bc}+\frac{b^2}{b^2-ca}+\frac{c^2}{c^2-ab}\)

(a) 4 

(b) 2 

(c) 1 

(d) 0

Answer 1

(b) 2

a + b + c = 0 

⇒ a² = (b + c) 2 or a = – b – c

∴ Given expression = \(\frac{a^2}{a^-bc}+\frac{b^2}{b^2-ca}+\frac{c^2}{c^2-ab}\)