If a+bi=c+ic−i,a,b,c∈R, show that a2+b2=1 and ba=2cc2−1 – InterviewSolution

1.	If a+bi=c+ic−i,a,b,c∈R, show that a2+b2=1 and ba=2cc2−1
Answer» If $a + b i = \frac{c + i}{c - i}, a, b, c \in R$ , show that $a^{2} + b^{2} = 1$ and $\frac{b}{a} = \frac{2 c}{c^{2} - 1}$

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