[" following hyperbolas "],[" (i) "16y^(2)-9x^(2)=144]

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. 16y^(2)-9x^(2)=144

(8,3sqrt3) is a point on the hyperbola 9x^(2) - 16y^(2) = 144.

The difference of the focal distance of any point on the hyperbola 9x ^(2) -16 y ^(2) =144, is

The difference of the focal distance of any point on the hyperbola 9x ^(2) -16 y ^(2) =144, is

If e_(1) and e_(2) be the eccentricities of the hyperbolas 9x^(2) - 16y^(2) = 576 and 9x^(2) - 16y^(2) = 144 respectively, then -

Show that the difference of the focal distances of any point on the hyperbola 9x^(2) - 16y^(2) = 144 is equal to its transverse axis.