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sec^2theta=4xy/(x+y)^2 is true if and on...

`sec^2theta=4xy/(x+y)^2` is true if and only if

A

`x+y!=0`

B

`x=y , x!=0`

C

`x=y`

D

`x!=0,y!=0`

Text Solution

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`sec^2theta=(4xy)/(x+y)^2`
`sec^2theta>=1`
`(4xy)/(x+y)^2>=1`
`(x+y)^2<=4xy`
`(x+y)^2-4xy<=0`
`(x-y)^2<=0`
For real values of x and y
`(x-y)^2>=0`
...
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