JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
Let . Then is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let . From , separating real and imaginary parts:
Real: , Imaginary: .
Case 1:
or .
Case 2:
.
So .
Real: , Imaginary: .
Case 1:
or .
Case 2:
.
So .
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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.