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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections
The Ellipse and Hyperbola
Warm-Ups
1
The x-intercepts of the ellipse x
2
/36 + y
2
/25 = 1 are (5, 0) and (-5, 0).
A)
TRUE
B)
FALSE
2
The graph of x
2
/9 + y/4 = 1 is an ellipse.
A)
TRUE
B)
FALSE
3
If the foci of an ellipse coincide, then the ellipse is a circle.
A)
TRUE
B)
FALSE
4
The graph of 2x
2
+ y
2
= 2 is an ellipse centered at the origin.
A)
TRUE
B)
FALSE
5
The y-intercepts of x
2
+ y
2
/3 = 1 are (0, 3
1/2
) and (0, -3
1/2
).
A)
TRUE
B)
FALSE
6
The graph of x
2
/9 + y/4 = 1 is a hyperbola.
A)
TRUE
B)
FALSE
7
The graph of x
2
/25 - y
2
/16 = 1 has y-intercepts at (0, 4) and (0, -4).
A)
TRUE
B)
FALSE
8
The hyperbola y
2
/9 - x
2
= 1 opens up and down.
A)
TRUE
B)
FALSE
9
The graph of 4x
2
- y
2
= 4 is a hyperbola.
A)
TRUE
B)
FALSE
10
The asymptotes of a hyperbola are the extended diagonals of a rectangle.
A)
TRUE
B)
FALSE
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