JEE Main 2008 — Quadratic Equation Question with Solution
JEE Main 2008
Question
The quadratic equations and have one root in common. The other roots of the first and second equations are integers in the ratio . Then the common root is
Choose an option
Show full solutionCorrect option: D
Correct answer
D2
Step-by-step explanation
Let and be roots of and be the roots of , then and
and .
We get
So the first equation is
If and then
If and , then (non-integer)
common root is .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Quadratic Equation chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2008, 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.