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

If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (pi)/(3) , then the eccentricity of conjugate hyperbola is _________.

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

Show that the angle between the asymptotes of the hyperola (x^(2))/a^(2) -y^(2)/b^(2)=1" is "2Tan^(-1) (b/a) or 2 sec^(-1) (e ) .

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) x^2+y^2=6 (b) x^2+y^2=9 (c) x^2+y^2=3 (d) x^2+y^2=18

Show that the acute angle between the asymptotes of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a^2> b^2), is 2cos^(-1)(1/e), where e is the eccentricity of the hyperbola.

The tangent at P on the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=1 meets one of the asymptote in Q. Then the locus of the mid-point of PQ is

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

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

Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2)/9=1 .