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1 week, 6 days ago

Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of and

if is 4:5 then a:b can be:

- Option 1)
- Option 2)
- Option 3)
- Option 4)

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As we learnt in

Arithmetic mean of two numbers (AM) -

- wherein

It is to be noted that the sequence a, A, b, is in AP where, a and b are the two numbers.

and

Geometric mean of two numbers (GM) -

- wherein

It is to be noted that a,G,b are in GP and a,b are two non - zero numbers.

Given G^{2 }= ab

and

**Option 1)**

Option 2)

Option 3)

Option 4)

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