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What is the length of latus rectum of cu...

What is the length of latus rectum of curve `xy=7x+5y`

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`xy-7x-5y=0`
`x(y-7)-5y+35=35`
`x(y-7)-5(y+7)=35`
`x(y-7)-5(y-7)=35`
`(x-5)(y-7)=35`
`XxxY=C^2`
`b=a`
`a=sqrt2c`
...
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