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NEST2021MathematicsComplex Number

Let S_k= z C : z^2+|z|=k for each k Z . Then

Options

  1. AS₀ has more elements than any S_k, k 0
  2. Bfor k 0 , if z S_k then Im (z)=0
  3. C| Arg (z₁ )- Arg (z₂ ) |= for z₁, z₂ S_k for any k 0
  4. Dfor k 0 , if z S_k then Re (z)=0

Correct answer

C. | Arg (z₁ )- Arg (z₂ ) |= for z₁, z₂ S_k for any k 0

Step-by-step solution

No solution available.

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