JEE Main 2020MathematicsComplex NumberMediumMCQ

JEE Main 2020 — Complex Number Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

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

Choose an option

Show full solutionCorrect option: B
Correct answer
By2≤2x+12

Step-by-step explanation

 x2+y2-x≤1
⇒  x2+y2≤x+1
⇒  x2+y2≤x2+2x+1
⇒  y2≤2x+1
 

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About this question

This is a previous-year question from JEE Main 2020, covering the Complex Number chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.