Complex Analysis (MC2061)

• left or right limit of the function does not exist

• both left and right limit exists but they are not equal

• (i) and (ii)

• (i) and (iii)

• (iii) and (iv)

• (i) only

Say True or False: If a function is differentiable at a point, then it is continuous at that point.

• True

• False

Which of the following is/ are nowhere differentiable?

A function which is analytic at every point of the complex plane is called .............. function

• harmonic

• integral

• entire

• extended

Say True or False: An analytic function with its derivative zero at every point of the domain is constant

• True

• False

• (i) and (iii)

• (i), (ii) and (iii)

• (i), (iii) and (iv)

• All the above

Which of the following given below is/are elementary transformations?

• Translation

• Rotation

• Magnification or Contraction

• Inversion

Choose the correct answers

• In the translation transformation, there is no changes in the shape, size and orientation of two regions

• In the rotation transformation, there is no changes in the shape and size of two regions but changes occur in the orientation

• In the contraction transformation, there is no changes in the shape and size of two regions but changes occur in the orientation

• In the magnification transformation, there is no changes in the shape and size of two regions but changes occur in the orientation