Conics and Polar
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If an ellipse is elongated horizontally then which statement if true?
b2 is the denominator of the y2 term
a2 is the denominator of the x2 term
a2 is the denominator of the y2 term
a2 is the denominator of the y2 term
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In an ellipse the relationship between a, b, and c can be expressed as . . .
a2 + c2 = b2
a2 + b2 = c2
b2 + c2 = a2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Foci?
(-3 , 4) and (-3 , 0)
(3 , -4) and (3 , 0)
(-3 , -4) and (-3 , 0)
(-3 , 4) and (3 , 0)
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the standard for for the equation of the ellipse with the given characteristics.
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Change the equation x² + 6x + y² − 4y = 12 to its general equation.
(x + 3)2 + (y - 2)2 = 25 Center: -3, 2 radius 5
(x - 3)2 + (y + 2)2 = 25 Center: 3, -2 radius 25
(x + 9)2 + (y - 4)2 = 25 Center: -9, 4 radius 5
(x + 3)2 + (y - 2)2 = 5 Center: -3, 2 radius 25
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Center (0, 6), tangent to the line y = 10.
x2 + (y - 6)2 = 16
x2 + (y - 6)2 = 36
x2 + (y - 6)2 = 4
x2 + (y - 6)2 = 9
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert the rectangular equation to a polar equation.
y=7
r=7
r=7sinΘ
r=7cscΘ
r=49
Tags
CCSS.HSN.CN.B.4
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