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

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 _________.

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 x^2+y^2=3 (d) x^2+y^2=18

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

Show that the eccentricities of the two hyperbolas (x^(2))/(16) - (y^(2))/(9) = 1 and (x^(2))/(64) - (y^(2))/(36) = 1 are equal.

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (y^(2))/(9)-(x^(2))/(27)=1

Find the centre, the length of latus rectum, the eccentricity, the coordinates of foci and the equations of the directrices of the hyperbola ((x+2)^(2))/(9) - ((y-1)^(2))/(16) = 1.

Find the position of the point (6,-5) with respect to the hyperbola (x^(2))/(9)-(y^(2))/(25) = 1