Concept explainers
To find: The coordinates of the centre and foci and the length of the major and minor axis for the given ellipse.
Answer to Problem 7CYU
The coordinates of the centreand foci are
Explanation of Solution
Given information:
The equation of the ellipse is,
Concept used:
Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,
The coordinate of the foci is
The value of
The vertices are at
Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,
The coordinate of the foci is
The vertices are at
The value of
Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,
Compare the given equation with the standard form of the equation to obtain,
The length of the major axis is calculated as,
The length of the minor axis is calculated as,
The value of
The coordinate of the foci is calculated as,
Consider the following graph of the ellipse,
Thus, the coordinates of the centreand foci are
Chapter 10 Solutions
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