JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
If , then the value of is:
Choose an option
Show full solutionCorrect option: C
Correct answer
C145
Step-by-step explanation
Given , so (primitive cube root of unity) with .
From the equation: .
Since , value of has period 3:
:
:
Fourth powers: , .
For to : 8 multiples of 3 contribute , remaining 17 terms contribute .
Total .
From the equation: .
Since , value of has period 3:
:
:
Fourth powers: , .
For to : 8 multiples of 3 contribute , remaining 17 terms contribute .
Total .
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This is a previous-year question from JEE Main 2026, 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.