# GATE Questions & Answers of Analytic functions

## What is the Weightage of Analytic functions in GATE Exam?

Total 4 Questions have been asked from Analytic functions topic of Complex variables subject in previous GATE papers. Average marks 1.25.

$z=\frac{2-3i}{-5+i}$ can be expressed as

For an analytic function,f(x+iy)=u(x,y)+iv(x,y), u is given by u=3x2-3y2. The expression for v, considering K to be a constant is

The analytic function $f\left(z\right)=\frac{z-1}{{z}^{2}+1}$ has singularities at
The analytic function $f\left(z\right)=\frac{z-1}{{z}^{2}+1}$ has singularities at