JEE Main 2022MathematicsComplex NumberEasyMCQ

JEE Main 2022 — Complex Number Question with Solution

JEE Main 2022 (24 Jun Shift 1)

Question

Let A=z∈C:1⩽z-1+i⩽2 and B=z∈A:z-1-i=1. Then, B

Choose an option

Show full solutionCorrect option: D
Correct answer
Dis an infinite set

Step-by-step explanation

z-1+i=1 & z-1+i=2 represents two concentric circles with centre 1,1.

z-1-i=1 represents a circle with centre 1,-1 and radius 1

 

A represents the region between the concentric circles with centre 1,1

Set B contains all points on minor arc PQ of the circle z-1-i=1.

Hence, B has infinite elements.

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About this question

This is a previous-year question from JEE Main 2022, 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.