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Distance Formula, Equation of Circle, Midpoint

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Distance Formula, Equation of Circle, Midpoint
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16 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the equation (x-4)2+(x-3)2=25, the radius is

4

3

5

25

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the radius of the circle
(x+7)²+(y-2)²=144?

7

12

13

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the distance between (3, 24) and (7, 56).

32.1

32.2

32.3

32.4

Tags

CCSS.HSG.GPE.B.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine whether the  point (5,-3) is on, inside, or outside the circle defined by x2+y2=34

On

Inside

Outside

Off the graph!

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine whether the  point (5,-5) is on, inside, or outside the circle defined by x2+y2=34

On

Inside

Outside

Off the graph!

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?
Hint: In this problem, we are not given the center or radius however we can find the length of the diameter using the distance formula (Phythagoras) and then divide it by 2. The center is simply the midpoint of the given points.

(x−6)2+(y−3)2=13

(x−3)2+(y−6)2=132

(x−5)2+(y−9)2=13

(x−9)2+(y−5)2=169/4

Tags

CCSS.HSG.GPE.A.1

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