If S={z∈C: (z−i)/(z+2i) ∈ R}... | Complex Numbers

JEE MAIN 2021

27-08-2021 S1

Question

If $S=\left\{z \in \mathbb{C}: \frac{z-i}{z+2 i} \in \mathbb{R}\right\}$, then:

Select the correct option:

S contains exactly two elements

S contains only one element

S is a circle in the complex plane

S is a straight line in the complex plane

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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