Ellipses and Circles Practice

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

• Centre  (-3,-1)
  Radius = 4 units

• Centre  (3,1)
  Radius = 2 units

• Centre  (-3,-1)
  Radius = 2 units

• Centre  (3,1)
  Radius = 4 units

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

What is the center of the given equation?

• (4, 3)

• (-4, -3)

• (-4, 3)

• (4, -3)

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

• 4

• 2

• 3

• 16

Classify the conic section.

• Circle

• Ellipse

• Line

• None of these

What is the length of the minor axis?

• 3

• 6

• 2

• 4

What is the equation used to determine the focus points on an ELLIPSE?

• c² = a² + b²

• c² = a² - b²

• 1/4p

• (x-h)² + (y-k)² = r²

Is the major axis of the ellipse horizontal or vertical?

• horizontal

• vertical

• both

• neither

What is the value of a and b for an ellipse with the following vertices and foci
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)

• a = 10 , b = 6

• a = 6 , b = 10

• a = 36 , b = 100

• a = 100 , b = 36

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