JEE Main 2025 — Functions Question with Solution
JEE Main 2025 (28 Jan Shift 2)
Question
Let be a polynomial of degree 2, satisfying . If , then the sum of squares of all possible values of is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
as is a polynomial of degree two let it be
on satisfying given conditions we get
hence
also range hence
now
let roots of this equation be then
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This is a previous-year question from JEE Main 2025, covering the Functions 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.