Q. Let $G_{1},G_{2}$ be the .....geometric means of two ...... series $x_{1},x_{2},\ \ldots..x_{n};y_{1},\ y_{2},\ \ldots,\ y_{n}$. If $G$ is the geometic mean of $\frac{x_{i}}{y_{i}},\ i = 1,\ 2,\ \ldots,n$. Then $G$ is equal to
A) $G_{1} - G_{2}$
B) $\frac{\log G_{1}}{\log G_{2}}$
C) $\frac{G_{1}}{G_{2}}$
D) $\log\left( \frac{G_{1}}{G_{2}} \right)$
Explanation
The correct answer is Option C: $\frac{G_{1}}{G_{2}}$.
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.