Find (i) the length of axes (ii) length of latus rectum (iii) coordianates of vertices (iv) eccentricity (v) coordinates of foci and (vi) equations of the directries of each of the following hyperbolas:
(a) ` 4x^(2) - 9Y^(2) = 36` (b) `9y^(2) - 25x^(2) = 225`

Answer

(a) 6 and 4 (ii) `8/3` (iii) `(pm3, 0 )` (iv) `(sqrt(13))/(3)` (v) `(pmsqrt(13),0)` (vi) `sqrt(13x) = pm9`
(b) (i) 10 and 6 (ii) `18/5` (iii) `(0,pm5)` (iv) `(sqrt(34))/(5)` (v) (0,`pmsqrt(34)`) (vi) `sqrt(34)y = pm 25`