Circle and Ellipses Application Problems

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5

Tags

CCSS.HSG.GPE.A.1

What are the vertices of this Ellipse?

• (-5, 5), (1, 5)

• (-2, 8), (-2, 2)

• (-2, 12), (-2, -2)

• (-9, 5) , (5, 5)

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242

• 11

• 121

• 22

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

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

What is the center of the given ellipse?

• (h, k) = (4, 3)

• (h, k) = (-4, -3)

• (h, k) = (-4, 3)

• (h, k) = (4, -3)

Tags

CCSS.HSG.GPE.A.1

What are the major vertices of the ellipse in this picture?

• (2, 0), (–2, 0)

• (0, 2), (0, –2)

• (0, 4), (0, –4)

• (4, 0), (–4, 0)

Tags

CCSS.HSG.GPE.A.1

What does (h,k) stand for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

The major axis is:

• The shorter axis of an ellipse

• The longer axis of an ellipse

• The closest point closest to the Sun

• The farthest point closest to the Sun