Math Chapter Wise question with answer

Q01 The complex valued function f(z) = u(x,y) + iv(x,y), for z = x + iy, is analytic if and only if: English · OPSC PGT 2017 Q02 If a function f(z) defined on some domain D of the complex plane is differentiable on D, it is said to be: English · JSSC PGT 2018 Q03 The function f (z) = |z|2 is English · Bihar (TRE 1.0) -2023 Q04 The analytic function whose real part is ex cosy is: English · NVS PGT 2022 Q05 Which of the following is not a harmonic function? English · RPSC PGT 2022 Q06 Select the function f (z) from below that is analytic on the unit sphere z < 1. English · JSSC PGT 2018