In Example 2, interchange the 4 and 9; find the vertices, ends of the minor axis, and
Question:
In Example 2, interchange the 4 and 9; find the vertices, ends of the minor axis, and foci; and sketch the ellipse.
Data from Example 2
The equation of the ellipse
has the larger denominator, 9, under the y2. Therefore, it fits the form of Eq. (21.19) with a2 = 9 and b2 = 4. This means that the vertices are (0, 3) and (0,−3), and the minor axis extends from (−2, 0) to (2, 0). In turn, we know that c2 = a2 − b2 = 9 − 4 = 5 and that the foci are (0, 5) and (0,− 5). This ellipse is shown in Fig. 21.61.
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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