To find:the standard form of the equation of the hyperbola.
Answer to Problem 17E
Thestandard form of the equation is
Explanation of Solution
Given information:
The given vertices are
Calculation:
The vertices are
The passes through the point are
The transverse axis of the hyperbola is horizontal.
Calculate the standard equation of the hyperbola.
The vertices are
The center of the hyperbola is given as midpoint of the line segment joining the vertices.
The midpoint between
The center is at
The value of
So, for vertex
Calculate the value of
The hyperbola passes through the point
Substitute the value of
Write the equation of the hyperbola in the form of equation (1).
Therefore, thestandard form of the equation of the hyperbola is
Chapter 10 Solutions
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