If p, \( g_1 \), \( g_2 \) and q are in GP and m is the arithmetic mean of p and q, then \( \frac{g_1^2}{g_2} + \frac{g_2^2}{g_1} \) is equal to
- A. m
- B. 2m ✓
- C. 1
- D. \frac{1}{2}
Correct Answer: B. 2m
Explanation
Let the common ratio be r. Expressing terms as pr, pr^2, pr^3 simplifies the given expression to p + q, which equals 2m.
Related questions on Algebra
- How many four-digit natural numbers are there such that <strong>ALL</strong> of the digits are odd?
- What is \sum_{r=0}^{n}2^{r}C(n,r) equal to ?
- If different permutations of the letters of the word 'MATHEMATICS' are listed as in a dictionary, how many words (with or without meaning) a...
- Consider the following statements : 1. If f is the subset of Z\times Z defined by f=\{(xy,x-y);x,y\in Z\}, then f is a function from...
- For how many quadratic equations, the sum of roots is equal to the product of roots?