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Let A1, A2, be two AM's and G1, G2, be two GM's between a and b, then (A1 + A2) / G1G2 is equal to _____Options(a+b) / 2ab2ab / (a+b)(a+b) / abNone of these

Question

Let A1, A2, be two AM's and G1, G2, be two GM's between a and b, then (A1 + A2) / G1G2 is equal to _____Options(a+b) / 2ab2ab / (a+b)(a+b) / abNone of these

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Solution

The answer is (a+b) / 2ab.

Here's the step-by-step solution:

Given that A1 and A2 are two arithmetic means between a and b, we have:

A1 = (a + b) / 2 and A2 = (a + b) / 2

So, A1 + A2 = a + b

Given that G1 and G2 are two geometric means between a

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