JEE Main 2007 — Sequences and Series Question with Solution
JEE Main 2007
Question
If and are positive real numbers such that , then the maximum value of is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Using
$\begin{aligned}
& \frac{p^2+q^2}{2} \geq p q \\
& \Rightarrow p q \leq \frac{1}{2} \\
& (p+q)^2=p^2+q^2+2 p q \\
& \Rightarrow p+q \leq \sqrt{2} .
\end{aligned}$
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Sequences and Series 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 2007, 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.