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Equation of Circles Center

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equation of Circles Center
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.

(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

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

(x - 5)2 + (y + 2)2 = 9

(x + 5)2 + (y - 2)2 = 3

(x + 5)2 + (y - 2)2 = 9

(x - 5)2 + (y + 2)2 = 3

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.

center = (-7, 2) radius = 3

center = (-7, 1) radius = 7

center = (-4, 1) radius = 7

center = (-4, 2) radius = 3

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert the equation of the circle from general to standard form.

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Select the matching graph.

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.A.1

6.

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the equation of a circle with center (5,-3) and radius of 9

x2+y2-10x+6y-47=4

x2+y2-10x-6y-47=0

2x2+y2+10x+6y-47=0

x2+y2-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

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