JEE Main 2025 — Quadratic Equation Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
The number of solutions of the equation is:
Choose an option
Show full solutionCorrect option: D
Correct answer
D4
Step-by-step explanation
Consider
$\begin{aligned}
& \left\{9 \alpha^2-9 \alpha+2\right\}\left\{2 \alpha^2-7 \alpha+3\right\}=0 \\
& (3 \alpha-2)(3 \alpha-1)(\alpha-3)(2 \alpha-1)=0 \\
& \alpha=\frac{1}{3}, \frac{1}{2}, \frac{2}{3}, 3 \\
& x=9,4, \frac{9}{4}, \frac{1}{9}
\end{aligned}$
So, no. of solutions
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This is a previous-year question from JEE Main 2025, 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.