If \( a \) and \( b \) are real numbers such that \( a^{2}+b^{2}=1 \) then show that a real valu...

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If \( a \) and \( b \) are real numbers such that \( a^{2}+b^{2}=1 \) then show that a real value of \( x \) will satisfy the equation, \( \frac{1-i x}{1+i x}=(a-i b) \).
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