If and are in GP and is the arithmetic mean of and , then is equal to यदि और q, GP में हैं और m, p और q का समांतर माध्य है ; तो किसके बराबर है ?

Explanation: Step 1: Use the properties of Geometric Progression (GP) Since are in GP, let be the common ratio. Step 2: Simplify the expression Substitute and into the given expression : Since , the expression simplifies to: Step 3: Relate to the Arithmetic Mean ( ) The arithmetic mean of and is defined as: Therefore: Thus, . Conclusion: The correct option is (b) 2m .

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

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

यदि $p, g_{1}, g_{2}$ और q, GP में हैं और m, p और q का समांतर माध्य है; तो $\frac{g _{1}^{2}}{g _{2}} + \frac{g _{2}^{2}}{g _{1}}$ किसके बराबर है ?

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