Example 2 ( GATE ) Complex Function Mapping Let S be the set of points in the complex plane correspo

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Example 2
Let S be the set of points in the complex plane corresponding to the unit circle. (That is, S= {z : |z| = 1}. Consider the function f(z)= zz* where z* denotes the complex conjugate of z. The f(z) maps S to which one of the following in the complex plane
(a) unit circle (b) horizontal axis line segment from origin to (1, 0)
(c) the point (1, 0) (d) the entire horizontal axis

  1. Pankaj Kumar Porwal
  2. Complex Number
  3. Complex
  4. Number
  5. Complex Function
  6. Function
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