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If A represents the arithmetic mean, H represents the harmonic mean and G represents the geometric mean, then what is the relation between them ?
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- A x H = G
- A x H = G2
- A/H = G2
- A/H = G
Correct Option: B
A = (a + b)/2,
1/H = (1/a + 1/b)/2
⇒ H = 2ab/(a +b),
G = √ab
∴ A x H = {(a + b)/2} x {2ab/(a + b)} = ab = G2
∴ A x H = G2
