Question

find the asymptotes of(x^2-a^2)(y^2-b^2)=a^2b^2​

Answer 1

Answer:

Any tangent to hyperbola forms a triangle with the asymptotes which has constant area ab.

⇒ab=a

2

tanλ

⇒

a

b

=tanλ

e=

1+

a

2

b

2

⇒e=

1+tan

2

λ

=secλ