Q31 of 63 Page 202

Find the equation of the hyperbola with
Vertices (± 5, 0), foci (± 7, 0)

Vertices (± 5, 0), foci (± 7, 0)

a = 5 ae = 7

As, b²=a² (e²-1)

=24

General Equation of Hyperbola is

Hence, the general equation is .

Find the equation of the set of all points whose distance from (0, 4) are of their distance from the line y = 9.

Show that the set of all points such that the difference of their distances from (4, 0)and (– 4, 0) is always equal to 2 represent a hyperbola.

Find the equation of the hyperbola with

Vertices (0, ± 7), e =

Find the equation of the hyperbola with

Foci , passing through (2, 3)

Find the equation of the hyperbola withVertices (± 5, 0), foci (± 7, 0)