R D Sharma Solutions for Chapter: Hyperbola, Exercise 1: EXERCISE 27.1

Find the equation of the hyperbola satisfying the given conditions:

vertices $(0, \pm 3)$, foci $(0, \pm 5)$

Find the equations of the hyperbola satisfying the given conditions:

foci $(\pm 5, 0)$, transverse axis $=8$

Find the equation of the hyperbola satisfying the given conditions:

foci $(0, \pm 13)$, conjugate axis $=24$

Find the equations of the hyperbola satisfying the given conditions:

foci $(\pm 3\sqrt{5}, 0)$, the latus-rectum $=8$

Find the equation of the hyperbola satisfying the given conditions:

foci $(\pm 4, 0)$, the latus-rectum $=12$

Find the equation of the hyperbola satisfying the given conditions:

vertices $(0, \pm 6), e=\frac{5}{3}$

Find the equation of the hyperbola satisfying the given conditions:

foci $(0, \pm \sqrt{10})$, passing through $(2, 3)$

Find the equations of the hyperbola satisfying the given conditions:

foci $(0, \pm 12)$, latus-rectum $=36$