JEE Main 2022MathematicsComplex NumberEasyMCQ

JEE Main 2022 — Complex Number Question with Solution

JEE Main 2022 (29 Jul Shift 2)

Question

If z≠0 be a complex number such that z-1z=2, then the maximum value of z is

Choose an option

Show full solutionCorrect option: D
Correct answer
D2+1

Step-by-step explanation

Given z-1z=2

We know that z-1z≤z-1z≤z+1z Let z=r

i.e. r-1r≤2 and 

r+1r≥2 which is always true.

Now r-1r≤2

⇒r-1r≥-2 & r-1r≤2

⇒r2-1≤2r

⇒r-12≤2

⇒r-1≤2

∴ zmax=1+2

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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.