Complex Analysis-I

A complex number is denoted by______.

• C

• Z

• R

• z

The argument of the product of two complex numbers is the _______ of the arguments of the complex numbers

• sum

• product

• inverse

• conjugate

The value of i⁷ is

• 1

• -i

• -i

• i

The square roots of -1 are

• -1

• i, -i

• i

• -i

 $\left|z_1+z_2\right|$  

•   $>\left|z_1\right|+\left|z_2\right|$  

•  $\le\left|z_1\right|+\left|z_2\right|$  

•  $\le z_1+z_2$  

•  $>z_1+z_2$  

In polar coordinates, r is the ________.

• argument

• modulus

• diameter

• angle

A function which is analytic everywhere in the finite plane is called _______.

• entire function

• analytic function

• differentiation

• continuous function

Say TRUE or FALSE.

If a function is continuous at a point, then the function is differentiable at a point.

• TRUE

• FALSE

 $e^z$ is not defined in  $z=\infty$  then the function is ________

• harmonic function
  

• continuous function
  

• entire function
  

• analytic function
  

Suppose f(z) is analytic in a domain, if its real part is a constant then f(z) is

• a continuous function

• a harmonic function

• an analytic function

• a constant function