JEE Main 2022 — Sequences And Series Question with Solution
From: JEE Main 2022 (Online) 25th July Morning Shift
Question
Let be two non-zero real numbers. If and are the roots of the equation and and s are the roots of the equation , such that are in A.P., then is equal to _____________.
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Show full solutionCorrect answer: 38
Correct answer
38
Step-by-step explanation
Roots of are and and roots of are and .
Let as
So sum of roots and
Clearly and
Now product of roots,
and
So,
Let as
So sum of roots and
Clearly and
Now product of roots,
and
So,
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This is a previous-year question from JEE Main 2022, covering the Sequences And Series 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.