Conic Sections and Polar Equations

Which conic section is represented by the equation

x² + y² - 10x - 4y - 21 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

• (3, 5)

• (-3, 5)

• (5, -3)

• (3, -5)

Which is the radius of the circle with equation

(x - 2)² + (y + 4)² = 9

• 81

• 3

• 9

• 4.5

Which conic section is represented by the equation

4x² + 25y² - 8x + 150y + 129 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

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

• (4, -2)

• (2, -4)

• (-2, 4)

• (-4, 2)

• 4

• 9

• 6

• 3

Which conic section is represented by the equation

9x² - 4y² - 54x - 40y - 55 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

The vertices of a hyperbola are located at (1,1) and (5 ,1). Which are the coordinates of the center?

• (3,1)

• (3,0)

• (1,3)

• (9,1)

Which conic section is represented by the equation

2x² - 16x - 12y + 20 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola