VITEEE 2018 Paper

Let the equation of asymptotes be
2x2 + 5xy + 2y2 + 4x + 5y + λ = 0.......(1)
This equation represents a pair of straight lines,
.∴ abc + 2fgh - af2- bg2 - ch2 = 0
∴ 4λ + 25 -

25

2

- 8 - λ ×

25

4

= 0
⇒ -

9λ

4

+

9

2

= 0 ⇒ λ = 2
Putting the value of A, in eq. (1),
we get 2x2 + 5 xy + 2y2 + 4x + 5y + 2 = 0
this is the equation of the asymptotes.