If $$\frac{{b - c}}{a}$$ + $$\frac{{a + c}}{b}$$ + $$\frac{{a - b}}{c}$$ = 1 and a - b + c ≠ 0 then which one of the following relations is true ? Options: A . &nbsp$$\frac{1}{c} = \frac{1}{a} + \frac{1}{b}$$ B . &nbsp$$\frac{1}{a} = \frac{1}{b} + \frac{1}{c}$$ C . &nbsp$$\frac{1}{b} = \frac{1}{a} - \frac{1}{c}$$ D . &nbsp$$\frac{1}{b} = \frac{1}{a} + \frac{1}{c}$$

If $$\frac{{b - c}}{a}$$ + $$\frac{{a + c}}{b}$$ + $$\frac{{a

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