Concept explainers
To find: Whether the statement “A(n) ellipse is the set of all points in a plane such that the sum of the distance from the two fixed points is constant”.
Answer to Problem 2SGR
The statement “A(n) ellipse is the set of all points in a plane such that the sum of the distance from the two fixed points is constant” is true.
Explanation of Solution
Given information:
The given statement is “A(n) ellipse is the set of all points in a plane such that the sum of the distance from the two fixed points is constant”.
Calculation:
Two fixed points on the ellipse are its foci.
The sum of the distance from any two points no the ellipse from two foci is always constant and equal to the length of its major axis. So, the statement is true.
Therefore, the statement “A(n) ellipse is the set of all points in a plane such that the sum of the distance from the two fixed points is constant” is true.
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