A horizontal hyperbola has eccentricity and its foci are units apart.

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A horizontal hyperbola has eccentricity

2

and its foci are

20

units apart. (i) Determine the values of

a

and

b

for this hyperbola. (ii) Write the standard equation of the hyperbola. (iii) Sketch the hyperbola, marking clearly the centre, vertices, foci and asymptotes on appropriately scaled axes.

Related theory

Hyperbola
Conic Sections
Coordinate Geometry
Hyperbola standard equation

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