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JEE Main202127 Aug 2021Morning ShiftMathematicsComplex NumberActual

If S = z ∈ C : z - i z + 2 i ∈ R , then

Options

  1. AS is a circle in the complex plane
  2. BS contains exactly two elements
  3. CS contains only one element
  4. DS is a straight line in the complex plane

Correct answer

D. S is a straight line in the complex plane

Step-by-step solution

Given z - i z + 2 i ∈ R Then   a r g z - i z + 2 i  is   0  or   π ⇒ S is straight line in complex plane.

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