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Grade 21 Algebra II
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Conic Sections -Exploring Conic Sections
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Question: What is the center of the ellipse shown?
A ) (0, 0)
B ) (0, 1)
C ) (0, 3)
D ) (- 3, 0)
Steps to derive
1
The major axis of the ellipse is
x
- axis and its vertices are (- 3, 0) and (3, 0).
[Graph.]
2
Center of the ellipse is the mid point of the line segment joining its vertices.
3
Center of the ellipse = (
-
3
+
3
2
,
0
+
0
2
) = (0, 0).
[Use the mid point formula.]
Hence the right answer is Option A
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