Q. Non- negative real numbers such that $a_{1} + a_{2} + ... + a_{n} = p$ and$\ q = \sum_{i < j}^{}{a_{i}a_{j},}\$then
A) $q \leq \frac{1}{2}p^{2}$
B) $q > \frac{1}{4}p^{2}$
C) $q < \frac{p}{2}$
D) $q > \frac{p^{2}}{2}$
Explanation
The correct answer is Option A: $q \leq \frac{1}{2}p^{2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.