Conic Sections Circles and Ellipses

Which is the radius of the circle with equation (x - 2)² + (y + 4)² = 9

• 81

• 3

• 9

• 4.5

• (x + 2)² + (y - 1)² = 2

• (x + 2)² + (y - 1)² = 1

• (x - 2)² + (y + 1)² = 1

• (x + 2)² + (y - 2)² = 1

Which of the following is the equation of the circle with a center at (5, 10) and diameter = 10

• (x - 5)² + (y - 10)² = 10

• (x - 5)² + (y - 10)² = 100

• (x + 5)² + (y + 10)² = 25

• (x - 5)² + (y - 10)² = 25

An ellipse has a center at the origin and vertices at (-4, 0), (0, 2), (4, 0), and (0, -2). Is the major axis horizontal or vertical?

• Horizontal

• Vertical

• Neither

• (-5,1) and (-1,1)

• (±√3,0)

• (0,1) and (-6,1)

• (√3 - 3,1) and (-√3 - 3,1)

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)

• 4

• 9

• 6

• 3

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

What are the co-vertices of the ellipse?

• (-5,3)

• (-5,0) and (-5,6)

• (3,-5)

• (-10, 3) and (0,3)

What are the major vertices of the ellipse?

• (0, 0)

• (7, 1) and (-1, 1)

• (3, -5) and (3, 7)

• (3, 5) and (4, 7)