To find: The center, vertices, foci and asymptotes of the hyperbola & sketch of the hyperbola.
Answer to Problem 24RE
By converting the equation of hyperbola in general form it is calculated
Center of hyperbola:
Vertices of hyperbola:
Foci of hyperbola:
Asymptotes of hyperbola:
Explanation of Solution
Given information:
Given hyperbola:
Calculation:
The general equation of hyperbola is
Or
So, first convert given equation into general form
Now compare it with general equation of hyperbola
Here,
Now, center
Vertices
(Adding & subtracting separately)
Vertices of hyperbola
Foci
Now,
Foci
4. Asymptotes
Asymptotes:
Interpretation :
By converting the equation of hyperbola in general form it is calculated
Center of hyperbola:
Vertices of hyperbola:
Foci of hyperbola:
Asymptotes of hyperbola:
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