The asymptotes of a hyperbola are `y = pm b/a x`, prove that the equation of the hyperbola is `x^(2)/a^(2) - y^(2)/b^(2) = k ` , where k is any constant.

The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 is

Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

Statement -1 : The lines y = pm b/a xx are known as the asymptotes of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) - 1 = 0 . because Statement -2 : Asymptotes touch the curye at any real point .

The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3 , is

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =

The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24 , is

The area of the triangle formed by any tangent to the hyperbola x^(2) //a^(2) -y^(2) //b^(2) =1 with its asymptotes is

The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 are