JEE Main 2026 — Quadratic Equation Question with Solution
JEE Main 2026 (04 April Shift 2)
Question
If and , where are two roots of the equation , , then is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Since , the complex roots of the equation must occur in conjugate pairs.
Given roots are and .
The third root must be .
The polynomial is given by:
We need to evaluate the integral:
Using the property of definite integrals for odd functions and for even functions:
Answer:
Given roots are and .
The third root must be .
The polynomial is given by:
We need to evaluate the integral:
Using the property of definite integrals for odd functions and for even functions:
Answer:
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This is a previous-year question from JEE Main 2026, covering the Quadratic Equation 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.