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

Question

If S = z ∈ C : z - i z + 2 i ∈ R , then, S is a circle in the complex plane, S contains exactly two elements, S contains only one element, S is a straight line in the complex plane

MARKS App · Accepted Answer

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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