JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
Let and . If , then is
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Show full solutionCorrect answer: 49
Correct answer
49
Step-by-step explanation
, (cube roots of unity).
Let , , .
Calculating: , , .
All have .
Verify: , .
.
Fourth term: . So .
Total .
Let , , .
Calculating: , , .
All have .
Verify: , .
.
Fourth term: . So .
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.