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Worksheets

Ellipses

Total questions: 13

Worksheet time: 28mins

Name
Class
Date
1.

What type of conic section is represented in this image?

a)

parabola

b)

circle

c)

ellipse

d)

hyperbola

e)

it is not a conic section

2.

What is the equation of the conic section that is represented in this image?

a)

(y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1

b)

(y3)216 (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ -\ \frac{\left(x-3\right)^2}{9}\ =\ 1

c)

(y+3)29 + (x+3)216 = 1\frac{\left(y+3\right)^2}{9}\ +\ \frac{\left(x+3\right)^2}{16}\ =\ 1

d)

x225 + y24 = 1\frac{x^2}{25}\ +\ \frac{y^2}{4}\ =\ 1

e)

x225 y24 = 1\frac{x^2}{25}\ -\ \frac{y^2}{4}\ =\ 1

3.

What is the equation of the conic section that is represented in this image?

a)

(y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1

b)

(y3)216 (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ -\ \frac{\left(x-3\right)^2}{9}\ =\ 1

c)

(y+3)29 + (x+3)216 = 1\frac{\left(y+3\right)^2}{9}\ +\ \frac{\left(x+3\right)^2}{16}\ =\ 1

d)

x225 + y24 = 1\frac{x^2}{25}\ +\ \frac{y^2}{4}\ =\ 1

e)

x225 y24 = 1\frac{x^2}{25}\ -\ \frac{y^2}{4}\ =\ 1

4.

Where is the center of this ellipse? 


 (y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1  

a)

(4,3)

b)

(16,9)

c)

(0,0)

d)

(3,3)

e)

(-3,-3)

5.

Where is one of the focus of this ellipse? 


 (y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1  

a)

(3, 5.6)

b)

(5.6, 3)

c)

(4.58, 0)

d)

(3, 3)

e)

(0, 4.58)

6.

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


 (y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1  

a)

3 units

b)

4 units

c)

8 units

d)

9 units

e)

16 units

7.

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


 (y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1  

a)

3 units

b)

6 units

c)

9 units

d)

25 units

e)

it is a different number than the ones provided above

8.

What type of conic section is represented in this image?

a)

vertical parabola

b)

horizontal ellipse

c)

vertical ellipse

d)

hyperbola

e)

it is not a conic section

9.

What is the equation of the conic section that is represented in this image?

a)

(y3)216 + (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ +\ \frac{\left(x-3\right)^2}{9}\ =\ 1

b)

(y3)216 (x3)29 = 1\frac{\left(y-3\right)^2}{16}\ -\ \frac{\left(x-3\right)^2}{9}\ =\ 1

c)

(y+3)29 + (x+3)216 = 1\frac{\left(y+3\right)^2}{9}\ +\ \frac{\left(x+3\right)^2}{16}\ =\ 1

d)

x225 + y24 = 1\frac{x^2}{25}\ +\ \frac{y^2}{4}\ =\ 1

e)

x225 y24 = 1\frac{x^2}{25}\ -\ \frac{y^2}{4}\ =\ 1

10.

Where is the center of this ellipse? 


 x225 + y24 = 1\frac{x^2}{25}\ +\ \frac{y^2}{4}\ =\ 1  

a)

(4,3)

b)

(16,9)

c)

(0,0)

d)

(3,3)

e)

(-3,-3)

11.

Which if the following statements is not true about ellipses?

a)

Ellipses have two focus or foci

b)

Ellipses have two axis

c)

Ellipses can be horizontal and vertical

d)

Ellipses have two centers

e)

All of the above are true

12.

What does the distance labeled "c" tells about an ellipse?

a)

The length of its major axis.

b)

The length of its minor axis.

c)

The distance between the foci.

d)

The distance between the center and one of its focus.

e)

The length of the tangent of the ellipse.

13.

What does the distance labeled "b" tells about an ellipse?

a)

Half of the length of its major axis.

b)

Half of the length of its minor axis.

c)

The distance between the foci.

d)

The length of its major axis.

e)

The length of its minor axis.