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The value of Arg $[i \ln (\frac{a - i b}{a + i b})]$ ; where $a$ and $b$ are real numbers

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0 or π

π2

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Correct option is A

ln(a−iba+ib)=ln|a−iba+ib|+i[2nπ+arg(a−iba+ib)] =i[2nπ+arg(a−iba+ib)] ∵|a−iba+ib|=1 ∴Arg[iln(a−iba+ib)]=Argi[−2nπ−arg(a−iba+ib)]=0 or πAs 2nπ+arg(a−iba+ib) is a real number.

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The value of Arg[i ln(a−iba+ib)] ; where a and b are real numbers

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The value of Arg $[i \ln (\frac{a - i b}{a + i b})]$ ; where $a$ and $b$ are real numbers