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NEST2014MathematicsComplex Number

Let X= z:|z|+|z-1|=1 be a subset of complex numbers. Then, in the complex plane X represents

Options

  1. Athe triangle with vertices z₁=0, z₂=1 and z₃=1+i
  2. Bthe circle passing through z₁=0 and z₂=1 with center z= 1 2 + i 2
  3. Cthe line segment joining z₁=0 and z₂=1
  4. Dthe square with vertices z₁=0, z₂=1, z₃=1+i and z₄=i

Correct answer

C. the line segment joining z₁=0 and z₂=1

Step-by-step solution

No solution available.

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