If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$ = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$

Question

If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$ = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$ = $$\frac{{{c^2} + {a^2}}}{{{b^2}}}$$ = $$\frac{1}{k}{\text{,}}$$ $$\left( {k \ne 0} \right)$$ then k = ?

Options:

A . 2

B . 1

C . 0

D . $$\frac{1}{2}$$

Answer: Option D

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