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

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.

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeometric ApplicationMedium2 minPYQ_2021

MathematicsMediumsingle choice

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

Answer:

Solution:

Given $\frac{z - i}{z + 2 i} \in R$

$Then a r g (\frac{z - i}{z + 2 i}) is 0 or π$

$\Rightarrow$ $S$ is straight line in complex plane.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

⏱ 2mℹ️ Source: PYQ_2021

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