Concept explainers
(a)
To find: the value of c .
(a)
Answer to Problem 25WE
The value of c is 0 .
Explanation of Solution
Given:
Suppose that
Calculation:
Use the relation
It is given that
Conclusion:
Therefore, the value of c is 0 .
(b)
To find: the value of e .
(b)
Answer to Problem 25WE
The value of e is 0.
Explanation of Solution
Given:
Calculation:
The eccentricity e is defined by
Substitute 0 for c in e .
Conclusion:
Therefore, the value of e is 0.
(c)
To find: the position of two foci.
(c)
Answer to Problem 25WE
Therefore, the foci are at the centre.
Explanation of Solution
Given:
Calculation:
The distance of the foci from the centre is given by c .
Since the value of c is 0, the distance of the foci from the center is 0.
Therefore, the foci are at the centre.
Conclusion:
Therefore, the foci are at the centre.
(d)
To find: the special ellipse will be the graph.
(d)
Answer to Problem 25WE
Therefore, the given ellipse is a
Explanation of Solution
Given:
Calculation:
The foci of the given ellipse are at the centre.
The sum of the distances from any point on the ellipse to the foci is constant.
Since the two foci of the given ellipse are at the same point and at the center, the distances to all points on the ellipse from the center are equal, which makes it a circle.
Conclusion:
Therefore, the given ellipse is a circle
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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