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NEST2015MathematicsComplex Number

Let C be the set of all complex numbers. Consider the function h: C C defined by h(z)=i z . Then

Options

  1. Ah maps the unit circle S= x+i y C : x^2+y^2=1 to S .
  2. Bh maps complex upper half plane H = z=x+i y C : y 0 to H .
  3. Ch maps the unit square centered at zero to itself.
  4. Dh h maps a straight line passing through the origin to that line.

Correct answer

D. h h maps a straight line passing through the origin to that line.

Step-by-step solution

No solution available.

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