The value of Arg[i ln(a−iba+ib)] ; where a and b are real numbers
0 or π
π2
Not defined
None of these
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 π
As 2nπ+arg(a−iba+ib) is a real number.