JEE Main 2026 — Complex Number Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let be the distinct solutions of the equation . Then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given equation is
Let the roots be and .
Sum of roots:
Product of roots:
We know that
Taking modulus on both sides:
Using the parallelogram law for complex numbers:
Answer:
Let the roots be and .
Sum of roots:
Product of roots:
We know that
Taking modulus on both sides:
Using the parallelogram law for complex numbers:
Answer:
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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.