HyperbolaHard

Question

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0) The possible equation of the hyperbola is -

Options

A. = 1
B. = 1
C.= 1
D.= 1

Solution

Centre of hyperbola is (5, 0), so equation is

a = 5, ae - a = 8 ⇒ e =
b2 = 144.
So equation is = 1
Centre of hyperbola is (5, 0), so equation is

a = 5, ae - a = 8 ⇒ e =
b2 = 144.
So equation is = 1

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