Circles and Ellipses

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

What are the vertices of the ellipse?

• (1, 5) and (1, -5)
• (0, 5) and (0, -5)
• (1, 1) and (1, -1)
• (0, 1) and (0, -1)

Tags

CCSS.HSG.GPE.A.1

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

What is the equation for the focus points on an ELLIPSE?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

• Ellipse; center (3, -5)
• Ellipse; Center (-3,  5) ; radius = 5
• Circle; Center (3, - 5) ; radius = 25
• Circle; Center (3, - 5) ; radius = 5

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

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

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16
• (x-8)² + y² = 4
• x² + (y-8)² = 4
• x² + (y+8)² = 16