To write: The equation of the hyperbola that meets the given set of conditions.
Answer to Problem 31SGA
The equation of the hyperbola is
Explanation of Solution
Given:
The focus is at
The vertices are at
Calculation:
From the midpoint of the points
From the given coordinates of the vertices, it is known that the transverse axis of the hyperbola is parallel to
Consider the point
The focus formula will be
Use the formula
Find the equation of the hyperbola.
Substitute
Therefore, the equation of the hyperbola is
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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