Circle and Ellipses Application Problems

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• A

• B

• C

• D

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CCSS.HSG.GPE.A.1

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

• ( x - 5 )² + ( y + 8 )² = 14

• ( x - 5 )² + ( y - 8 )² = 49

• ( x - 5 )² + ( y + 8 )² = 49

• ( x + 5 )² + ( y - 8 )² = 49

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x-8)²+ (y+2)²=

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6

• (x - 4)^2 + (y + 5)^2 = 36

• (x + 4)^2 + (y - 5)^2 = 6

• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1

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

What are the co-vertices of the ellipse?

• (-5,3)

• (-5,0) and (-5,6)

• (3,-5)

• (-10, 3) and (0,3)

Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1

• 4

• 9

• 6

• 3

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CCSS.HSG.GPE.A.1

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25

• (x+5)²/4 + (y+3)²/9 = 1

• (x-5)²/2 + (y-3)²/3 = 1

• (x-5)²/4 + (y-3)²/9 = 1

Tags

CCSS.HSG.GPE.A.1