Equation of Circle Standard Form and Complete the Square
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
(x-3)2 + (y+6)2 = 25
(x+3)2 + (y-6)2 = 25
(x-3)2 + (y+6)2 = 45
(x+3)2 + (y-6)2 = 5
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
(x+2)2 + (y+3)2 = 49
(x+2)2 + (y+3)2 = 13
(x-2)2 + (y-3)2 = 49
(x-2)2 + (y-3)2 = 13
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the square to determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
(x-3)2 + (y+6)2 = 25
(x+3)2 + (y-6)2 = 25
(x-3)2 + (y+6)2 = 45
(x+3)2 + (y-6)2 = 5
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the standard form of the circle by completing the square: x^2 + y^2 +10y = 39
x2 + (y+5)2 = 49
x2 + (y+5)2 = 64
(x+5)2 + y2 = 61
(x+5)2 + y2 = 100
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Use completing the square to write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the circle with the given information?
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
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