JEE Main 2018MathematicsComplex NumberMediumMCQ

JEE Main 2018 — Complex Number Question with Solution

JEE Main 2018 (16 Apr Online)

Question

The least positive integer n for which 1+i31-i3n=1 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D3

Step-by-step explanation

Given 1+i31-i3n=1

⇒-2ω2-2ωn=1

 ⇒ωn=1

Hence, the least positive integer value of n is 3.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Complex Number chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2018, 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.