Free Printable ELLIPSE

1.

What are the vertices of

\frac{x^2}{16}+\frac{y^2}{25}=1?

a)

$\left(-4,\ 0\right)\ and\ \left(4,\ 0\right)$

b)

$\left(0,\ -4\right)\ and\ \left(0,\ 4\right)$

c)

$\left(-5,\ 0\right)\ and\ \left(5,\ 0\right)$

d)

$\left(0,\ -5\right)\ and\ \left(0,\ 5\right)$

2.

What is the equation of the given graph?

a)

$\frac{x^2}{7}+\frac{y^2}{6}=1$

b)

$\frac{x^2}{14}+\frac{y^2}{12}=1$

c)

$\frac{x^2}{49}+\frac{y^2}{36}=1$

d)

$\frac{x^2}{36}+\frac{y^2}{49}=1$

3.

What is the equation of a vertical ellipse whose center is (0, 0), length of the major axis is 12 and length of the minor axis is 10?

a)

$\frac{x^2}{36}+\frac{y^2}{25}=1$

b)

$\frac{x^2}{25}+\frac{y^2}{36}=1$

c)

$\frac{x^2}{144}+\frac{y^2}{100}=1$

d)

$\frac{x^2}{100}+\frac{y^2}{144}=1$

4.

What is the equation to get the foci of the ellipse?

a)

$c^2=a^2-b^2$

b)

$c^2=a^2+b^2$

c)

$c=\sqrt{a-b}$

d)

$c=\sqrt{a+b}$

5.

What are the foci of the given ellipse?
$\frac{x^2}{64}+\frac{y^2}{81}=1$

a)

$\left(-\sqrt{17},\ 0\right),\ \left(\sqrt{17},\ 0\right)$

b)

$\left(0,-\sqrt{17}\right),\ \left(0,\sqrt{17}\right)$

c)

$\left(0,\ -17\right),\left(0,17\right)$

d)

$\left(-17,0\right),\left(17,0\right)$

6.

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

7.

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

a)

A

b)

B

c)

C

d)

D

8.

What are the foci of the shifted ellipse?

a)

(-5,1) and (-1,1)

b)

(±√3,0)

c)

(0,1) and (-6,1)

d)

(√3 - 3,1) and (-√3 - 3,1)

9.

What is the center, a and b values for the following equation:
x² + 4y² + 16x - 80y + 320 = 0

a)

(-8, 10); a = 12, b = 6

b)

(-8, 10); a = 6, b = 12

c)

(8, -10); a = 12, b = 6

d)

(8, -10); a = 6, b = 12

10.

Locus of the point P such that the sum of distances from two fixed points is always constant is __________

a)

Hyperbola

b)

Parabola

c)

Cycloid

d)

Ellipse

11.

Which of the following is the eccentricity for an ellipse?

a)

1

b)

3/5

c)

5/3

d)

5

12.

In an ellipse, what distance does b represent?

a)

The distance from the center to a vertex

b)

The distance from the center to a co-vertex

c)

The distance from the center to a focus

d)

The length of the minor axis

e)

The length of the major axis

13.

In an ellipse, what distance does c represent?

a)

The distance from the center to a vertex

b)

The distance from the center to a co-vertex

c)

The distance from the center to a focus

d)

The length of the minor axis

e)

The length of the major axis

14.

See Picture

a)

A

b)

B

c)

C

d)

D

15.

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

a)

a = 10 , b = 6

b)

a = 6 , b = 10

c)

a = 36 , b = 100

d)

a = 100 , b = 36

ELLIPSE

Total questions: 15

Worksheet time: 1hrs 15mins

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