The region represented by { z = x + i y ∈ C : | z | - Re ( z ) ≤ 1 } is also given by the inequality

x 2 + y 2 - x ≤ 1 ⇒ x 2 + y 2 ≤ x + 1 ⇒ x 2 + y 2 ≤ x 2 + 2 x + 1 ⇒ y 2 ≤ 2 x + 1

Home

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeneral(Modulus,Argument,Conjugate)Medium2 minPYQ_2020

MathematicsMediumsingle choice

The region represented by ${z = x + i y \in C : | z | - Re (z) \leq 1}$ is also given by the inequality

Options:

Answer:

Solution:

$\sqrt{x^{2} + y^{2}} - x \leq 1$
$\Rightarrow \sqrt{x^{2} + y^{2}} \leq x + 1$
$\Rightarrow x^{2} + y^{2} \leq x^{2} + 2 x + 1$
$\Rightarrow y^{2} \leq 2 x + 1$

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:General(Modulus,Argument,Conjugate)

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...