JEE Main 2025 — Complex Number Question with Solution
JEE Main 2025 (29 Jan Shift 2)
Question
Let integers be such that . Then the number of all possible ordered pairs
(a, b), for which and , where and are the roots of , is equal to ________.
Enter your answer
Show full solutionCorrect answer: 10
Correct answer
10
Step-by-step explanation
Now
$\begin{aligned}
& |1-\mathrm{a}|=|1+\mathrm{b}| \\
& \Rightarrow 10 \text { pairs }
\end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Complex Number 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.