JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let be the complex number satisfying and having maximum positive principal argument. Then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C20
Step-by-step explanation
The region is a disk centered at with radius 3. Maximum positive principal argument from origin occurs at the tangent point from origin to the circle.
, .
The tangent point is the foot of perpendicular from to the line , giving .
.
, .
The tangent point is the foot of perpendicular from to the line , giving .
.
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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.