The equations of the asymptotes of the hyperbola `2x^(2)+5xy+2y^(2)-11x-7y-4=0` are

Options

A. `2x^(2)+5xy+2y^(2)-11x-7y-5=0`
B. `2x^(2)+4xy+2y^(2)-7x-11y-5=0`
C. `2x^(2)+5xy+2y^(2)-11x-7y+5=0`
D. none of these

Explanation

Let the equation of the asymptotes be
`2x^(2)+5xy+2y^(2)-11x-7y+lambda=0`…….`(i)`
This must represent a pair of straight lines.
`:. 4lambda+(385)/(4)-(49)/(2)-(121)/(2)-(25lambda)/(4)=0implieslambda=5`
Putting the value of `lambda` in `(i)`, we get
`18x^(2)+45xy+18y^(2)-99x-63y+5=0`
as the equations of asymptotes.