Teaching UP B.Ed (Paper 1 & 2) Mock Test 2025 Engineering Mathematics Complex Variables Analytic Functions
If \(\mathrm{u}=\frac{1}{2} \log \left(x^2+y^2\right)\)is harmonic, then its harmonic conjugate is
1
\(\tan ^{-1}\left(\frac{y}{x}\right)+\mathrm{c}\)
2
\(\cos ^{-1}\left(\frac{y}{x}\right)+\mathrm{c}\)
3
x2 + y2 + c
4
\(\sin ^{-1}\left(\frac{y}{x}\right)+c\)