In each of the following find the equation of the hyperbola satisfying

1.	In each of the following find the equation of the hyperbola satisfying the given conditions.: (i)vertices(±2,0),foci(±3,0) (ii)vertices(0,±,5),foci(0,±,8) (iii)vertices(0,±,3),foci(0,±,5) (iv)vertices(±5,0),transverseaxis=8 (v)foci(0,±13),conjugateaxis=24 (vi)foci(±3√5),thelatus−rectum=8 (vii)foci(±,4,0),thelatus−rectum=12 (viii)vertices(0,±6),e=53. (ix)foci(0,±√10),passingthrough(2,3) (x)foci(0,±12),latus−rectum=36
Answer» In each of the following find the equation of the hyperbola satisfying the given conditions.: $(i) v e r t i c e s (\pm 2, 0), f o c i (\pm 3, 0)$ $(i i) v e r t i c e s (0, \pm, 5), f o c i (0, \pm, 8)$ $(i i i) v e r t i c e s (0, \pm, 3), f o c i (0, \pm, 5)$ $(i v) v e r t i c e s (\pm 5, 0), t r a n s v e r s e a x i s = 8$ $(v) f o c i (0, \pm 13), c o n j u g a t e a x i s = 24$ $(v i) f o c i (\pm 3 \sqrt{5}), t h e l a t u s - r e c t u m = 8$ $(v i i) f o c i (\pm, 4, 0), t h e l a t u s - r e c t u m = 12$ $(v i i i) v e r t i c e s (0, \pm 6), e = \frac{5}{3} .$ $(i x) f o c i (0, \pm \sqrt{1} 0), p a s s i n g t h r o u g h (2, 3)$ $(x) f o c i (0, \pm 12), l a t u s - r e c t u m = 36$

In each of the following find the equation of the hyperbola satisfying the given conditions.: (i)vertices(±2,0),foci(±3,0) (ii)vertices(0,±,5),foci(0,±,8) (iii)vertices(0,±,3),foci(0,±,5) (iv)vertices(±5,0),transverseaxis=8 (v)foci(0,±13),conjugateaxis=24 (vi)foci(±3√5),thelatus−rectum=8 (vii)foci(±,4,0),thelatus−rectum=12 (viii)vertices(0,±6),e=53. (ix)foci(0,±√10),passingthrough(2,3) (x)foci(0,±12),latus−rectum=36

Answer»

In each of the following find the equation of the hyperbola satisfying the given conditions.:

$(i) v e r t i c e s (\pm 2, 0), f o c i (\pm 3, 0)$

$(i i) v e r t i c e s (0, \pm, 5), f o c i (0, \pm, 8)$

$(i i i) v e r t i c e s (0, \pm, 3), f o c i (0, \pm, 5)$

$(i v) v e r t i c e s (\pm 5, 0), t r a n s v e r s e a x i s = 8$

$(v) f o c i (0, \pm 13), c o n j u g a t e a x i s = 24$

$(v i) f o c i (\pm 3 \sqrt{5}), t h e l a t u s - r e c t u m = 8$

$(v i i) f o c i (\pm, 4, 0), t h e l a t u s - r e c t u m = 12$

$(v i i i) v e r t i c e s (0, \pm 6), e = \frac{5}{3} .$

$(i x) f o c i (0, \pm \sqrt{1} 0), p a s s i n g t h r o u g h (2, 3)$

$(x) f o c i (0, \pm 12), l a t u s - r e c t u m = 36$