Ellipses

The set of all points in a plane the sum of whose distances from two fixed points is a constant is a/an _____.

• Circle

• Ellipse

• Parabola

• Hyperbola

Tags

CCSS.HSG.GPE.A.3

The midpoint of the line segment connecting the foci is the _____.

• co-vertice

• major axis

• center

• minor axis

Tags

CCSS.HSG.GPE.A.3

If an ellipse is elongated horizontally then which statement if true?

• b² is the denominator of the y² term

• a² is the denominator of the x² term

• a² is the denominator of the y² term

• a² is the denominator of the y² term

Tags

CCSS.HSG.GPE.A.3

In an ellipse the largest value between a, b, or c is . . .

• a

• b

• c

Tags

CCSS.HSG.GPE.A.3

If an ellipse has its center at (2,–3) and the major axis has an endpoint of (–4,–3), then the length of the major axis is . . .

• 3

• 6

• 8

• 12

Tags

CCSS.HSG.GPE.A.3

What is the value of b?

• 3

• 5

• 6

• 10

Tags

CCSS.HSA.REI.D.10

If this ellipse were translated 2 units to the right and 3 units up, what would be the endpoints of the minor axis?

• (4,3) and (8,3)

• (2,3) and (8,3)

• (2,6) and (2,0)

• (3,6) and (-1,4)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

x² + y² = 1 is a _______ when graphed.

• horizontal ellipse

• vertical ellipse

• circle

Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.3

The ellipse with the equation (x – 4)/25 + (y + 5)/4 = 1 has its center at the point . . .

• (–4,5)

• (5,2)

• (4,–5)

• (2,5)

4x² + 25y² = 100 is elongated in which direction?

• horizontal

• vertical