Concept explainers
To calculate: To find the equation of the ellipse
Answer to Problem 6ST
Equation of ellipse is
Explanation of Solution
Given information: Foci are
Formula Used:
Standard form of the equation of ellipse with center
Where,
When,
When
Calculation:
Foci of ellipse is given as follows:
On comparing the above foci with
Adding (1) and (2)
Substituting the value in (1)
Also, given the sum of the focal radii is
On solving,
Also,
Substituting the values:
Equation of ellipse is given as:
Conclusion:
Hence, equation of ellipse is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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