Verified Solution • 2025–26 Session moderate

QJEEM21Ma4a11: JEE Main 2021 Mathematics - Class 11 JEEM21Ma4a11 Solution: If , then :

If S={z∈C:z−iz+2i∈R}S = \left\{ {z \in C:{{z - i} \over {z + 2i}} \in R} \right\} , then :

Multiple Choice Options

  • A S contains exactly two elements
  • B S contains only one element
  • C S is a circle in the complex plane
  • D S is a straight line in the complex plane

Step-by-Step Verified Solution

Given z−iz+2i∈R{{z - i} \over {z + 2i}} \in R

Then arg⁡(z−iz+2i)\arg \left( {{{z - i} \over {z + 2i}}} \right) is 0 or π\pi

JEE Main 2021 (Online) 27th August Morning Shift Mathematics - Complex Numbers Question 89 English Explanation

⇒\Rightarrow S is straight line in complex

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