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Question Number 20932 by Tinkutara last updated on 08/Sep/17

If a, b, c are real numbers and z is a

complex number such that, a^{2} + b^{2} + c^{2}

= 1 and b + i c = (1 + a) z, then \frac{1 + i z}{1 - i z}

equals .

(1) \frac{b - i c}{1 - i a}

(2) \frac{a + i b}{1 + c}

(3) \frac{1 - c}{a - i b}

(4) \frac{1 + a}{b + i c}