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Two positive numbers x and y satisfy the...

Two positive numbers x and y satisfy the condition ` 4x^(2)+ 25y^(2) = 20xy`. Find the value of x : y.

A

` 5 : 2`

B

` 2 : 5`

C

` 3 : 2`

D

` 2 : 3`

Text Solution

Verified by Experts

The correct Answer is:
A
Given,
` 4x^(2)+25y^(2)= 20xy`
` rArr ( 2x - 5y)^(2) = 0 rArr 2x- 5y = 0`
`rArr x/y = 5/2 rArr x : y = 5 : 2`.
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