
Ellipse and Hyperbola Equations
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation used to find the focal points on an ELLIPSE?
c2 = a2 + b2
c2 = a2 - b2
1/4d
(x-h)2 + (y-k)2 = r2
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?
( - 2, 2)
(- 2, 4)
(2, -2)
(-2, 1)
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the equations of the asymptotes for this conic section?16x2 - 9y2 + 144 = 0
y = (4/3)x; y = -(4/3)x
y = (3/4)x; y = -(3/4)x
y = 0; x = 0
y = (16/9)x; y = -(16/9)x
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the conic section and find the center.25x2 + 9y2 + 50x - 36y - 164 = 0
ellipse; C(-1, 2)
hyperbola; C(-1, -2)
ellipse; C(-2, 4)
ellipse; C(1, 2)
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the conic section and determine the vertices.9x2 - 4y2 - 54x-16y - 79 = 0
hyperbola; (3, 4), (3, -8)
hyperbola; (7, -2), (-1, -2)
hyperbola; (9, -2), (-3, -2)
hyperbola; (3, 2), (3, -6)
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This equation describes what kind of graph?
Vertical Hyperbola
Vertical Ellipse
Horizontal Hyperbola
Horizontal Ellipse
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the hyperbola.
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