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Circles and Ellipses Applications

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Circles and Ellipses Applications
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16?

Centre  (2,5)
Radius = 16 units

Centre (2,5)
Radius = 4 units

Centre (-2,-5)
r = 16 units

Centre (-2,-5)
Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)2 + (y + 1)2 = 22 ?

Centre  (-3,-1)
Radius = 4 units

Centre  (3,1)
Radius = 2 units

Centre  (-3,-1)
Radius = 2 units

Centre  (3,1)
Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the center of the ellipse?

(0, 0)

(1, 5)

(1, 0)

(0, 1)

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Given the following, write the equation of the ellipse.

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the foci of the shifted ellipse?

(-5,1) and (-1,1)

(±√3,0)

(0,1) and (-6,1)

(√3 - 3,1) and (-√3 - 3,1)

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

See Picture

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the center of the given equation?

(h, k) = (4, 3)

(h, k) = (-4, -3)

(h, k) = (-4, 3)

(h, k) = (4, -3)

Tags

CCSS.HSG.GPE.A.1

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