Concept explainers
To find : The standard equation of the ellipse with given characteristics .
Answer to Problem 23RE
Explanation of Solution
Given information: Vertices of the ellipse are (0,1) and (4,1); endpoints of minor axis are (2,0) and (2,2).
Calculation:
Let a and b be length of semi major axis and semi minor axis respectively.
Here, we have ellipse with major axis on line
Length of major axis =4-0=4
Therefore,
The minor axis is in line
Length of minor axis =2-0=2
Therefore,
Now, center of ellipse is mid-point of the line segment joining vertices of ellipse, so center of ellipse is
We know that the standard equation of the horizontal ellipse with center at ( h , k ) is
Therefore, standard equation of ellipse with given characteristics is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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