The region represented by {z = x + iy Î C : |z| – Re(z) £ 1} is also given by the inequality:

Question:

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

  1. $y^{2} \geq 2(x+1)$

  2. $y^{2} \leq 2\left(x+\frac{1}{2}\right)$

  3. $y^{2} \leq x+\frac{1}{2}$

  4. $y^{2} \geq x+1$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometric Equations and Inequations chapter.
JEE Main Previous Year Sep. 06, 2020 (I)

Solution:

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