The region represented by $\{ z = x + iy \in C:\left| z \right| - {\mathop{\rm Re}\nolimits} (z) \le 1\} $ is also given by the inequality

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The region represented by

\{ z = x + iy \in C:\left| z \right| - {\mathop\mathrm{Re}\nolimits} (z) \le 1\}

is also given by the inequality

View answer and explanation

Correct option: B

{y^2} \le 2(x + \frac{1}{2})

Option B (

{y^2} \le 2(x + \frac{1}{2})

) is correct because it represents the inequality derived from the given condition

|z| - Re(z) \le 1

after substituting

z = x + iy

and simplifying.

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