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Equation of Circle Given Endpoints of Diameter

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equation of Circle Given Endpoints of Diameter
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

(x - 2)2 + (y + 5)2 = 36

(x - 5)2 + (y + 2)2 = 6

(x + 5)2 + (y - 2)2 = 36

(x + 2)2 + (y - 5)2 = 6

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

(-9/2, -1)

(-15/2, -6)

(9/2, 1)

(15/2, 6)

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Select all the equations for a circle with a diameter of 12.

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

See Picture

A

B

C

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

(x-2)2+y2=234

(x+2)2+y2=234

(x-2)2+(y+3)2=225

(x+2)2+(y-3)2=225

(x-15)2+(y+3)2=4

Tags

CCSS.HSG.GPE.A.1

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find an equation of the circle whose diameter has endpoints at (-5 , 2) and

(3 , 6).

(a)  

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The endpoints of a diameter of a circle are (3,1) and (9,5). Find the equation of the circle.

(x − 6)2 + (y − 3)2 = 13

(x − 3)2 + (y − 6)2 = 169

(x − 5)2 + (y − 9)2 = 13

(x − 9)2 + (y − 5)2 = 42.25

Tags

CCSS.HSG.GPE.A.1

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