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Mathematics · JEE | SEQUENCES AND SERIES

हिन्दी

What is the relation between Arithmetic Mean (A) and Geometric Mean (G) for two positive numbers when \( a = b \)?

  1. A
    \( A > G \)
  2. B
    \( A < G \)
  3. C
    \( A = G \)
  4. D
    \( A = 2G \)
View Answer & Solution

Correct answer · Option C

\( A = G \)

Explanation

When \( a = b \), \( A = \frac{a+a}{2} = a \) and \( G = \sqrt{a \cdot a} = a \), so \( A = G \).
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