Concept explainers
To find: the equation for the hyperbola.
Answer to Problem 42E
The equation of hyperbola is
Explanation of Solution
Given information:
From the figure, provided in the question it is observed that
foci of hyperbola :
length of transverse axis :
Calculation:
since from the given foci it is observed that the vertices of the hyperbola are on the y-axis, so the hyperbola has a vertical transverse axis.
So the equation is of the form,
The length of the transverse axis =
So,
Use the relation ,
so the equation of hyperbola is,
Hence, the equation of hyperbola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning