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(1)/((x)/(y)+(y)/(x))=...

`(1)/((x)/(y)+(y)/(x))=`

A

`(xy)/(x^(2)+y^(2))`

B

`(x^(2)+y^(2))/(xy)`

C

`(x^(2)+y^(2))/(2xy)`

D

`(xy)/(x+y)`

Text Solution

Verified by Experts

The correct Answer is:
A

`(1)/((x)/(y)+(y)/(x))=(1)/(((x)/(y))((x)/(x))+((y)/(x))((y)/(y)))`
` =(1)/((x^(2))/(xy)+(y^(2))/(xy))`
`= (1)/(((x^(2)+y^(2))/(xy)))`
`= (xy)/(x^(2)+y^(2))`
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