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7.3 Ellipse

Total questions: 17

Worksheet time: 39mins

Name
Class
Date
1.

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

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

2.

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

a)

co-vertice

b)

major axis

c)

center

d)

minor axis

3.

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

a)

b2 is the denominator of the y2 term

b)

a2 is the denominator of the x2 term

c)

a2 is the denominator of the y2 term

d)

a2 is the denominator of the y2 term

4.

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

a)

a

b)

b

c)

c

5.

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 . . .

a)

3

b)

6

c)

8

d)

12

6.

What is the value of b?

a)

3

b)

5

c)

6

d)

10

7.

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

a)

(4,3) and (8,3)

b)

(2,3) and (8,3)

c)

(2,6) and (2,0)

d)

(3,6) and (-1,4)

8.

x2 + y2 = 1 is a _______ when graphed.

a)

horizontal ellipse

b)

vertical ellipse

c)

circle

9.
What is the center of the ellipse?
a)
(0, 0)
b)
(1, 5)
c)
(1, 0)
d)
(0, 1)
10.

Identify the center and the length of a and b.

a)

Center: (0, 0) a= 5, b = 2

b)

Center: (0, 0) a= 2, b = 5

c)

Center: (25, 4) a= 25, b = 4

d)

Center: (0, 0) a= 25, b = 4

e)

Center: (0, 0) a= 4, b = 25

11.

What is the equation of the major axis of this ellipse?

a)

x = 1

b)

y = 1

c)

x = 3

d)

y = 3

12.

What is the equation of the minor axis of this ellipse?

a)

x = 1

b)

y = 1

c)

x = 3

d)

y = 3

13.

Find the standard equation of the given ellipse

a)
b)
c)
d)
14.

Given the following, write the equation of the ellipse in standard form.

a)

A

b)

B

c)

C

d)

D

15.
See Picture
a)
A
b)
B
c)
C
d)
D
16.

Which of the following is the graph of  (x+3)24+(y+1)29=1\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1  

a)
b)
c)
d)
17.
What is the equation for the focus points on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2