Question

If p, q, r, s are in harmonic progression and \(p>s\), then

• A. \((\frac{1}{ps})<(\frac{1}{qr})\)
• B. q+r=p+s
• C. \((\frac{1}{q})+(\frac{1}{p})=(\frac{1}{r})+(\frac{1}{s})\)
• D. None of these

Answer 1

The Correct Option is D

The correct option is (D): None of these
Explanation: If \( p, q, r, s \) are in harmonic progression, it means their reciprocals \( \frac{1}{p}, \frac{1}{q}, \frac{1}{r}, \frac{1}{s} \) are in arithmetic progression. Given \( p > s \), we cannot determine a specific relationship among the options provided based solely on the harmonic progression definition. Thus, the correct answer is \( D: \) None of these.