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Ellipses Quiz II

Authored by Ryan Sisco

Mathematics

11th Grade

CCSS covered

Used 3+ times

Ellipses Quiz II
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Given the equation of an ellipse (x−3)216+(y+2)29=1\frac{(x-3)^2}{16} + \frac{(y+2)^2}{9} = 1 , what is the center of the ellipse?

(3, 2)

(3, -2)

(-3, 2)

(-3, -2)

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

An ellipse is graphed on a coordinate plane. If the ellipse passes through the points (4,0) and (-4,0), and its center is at the origin, what is the length of the major axis?

4

8

16

2

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the ellipse with equation (x−1)225+(y+1)24=1\frac{(x-1)^2}{25} + \frac{(y+1)^2}{4} = 1 , identify the coordinates of the foci.

(1, -3) and (1, 1)

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

(1 , −1±7)\left(1\ ,\ -1\pm\sqrt[]{7}\right)

(1±7, −1)\left(1\pm\sqrt[]{7},\ -1\right)

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the vertices of the ellipse given by the equation x236+y29=1\frac{x^2}{36} + \frac{y^2}{9} = 1 ?

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

(0, 3) and (0, -3)

(6, 0) and (0, 3)

(3, 0) and (-3, 0)

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the co-vertices of the ellipse given by the equation x225+y216=1\frac{x^2}{25} + \frac{y^2}{16} = 1 ?

(5, 0) and (-5, 0)

(0, 4) and (0, -4)

(0, 5) and (0, -5)

(4, 0) and (-4, 0)

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the ellipse (x−2)29+(y+3)24=1\frac{(x-2)^2}{9} + \frac{(y+3)^2}{4} = 1 , what is the length of the minor axis?

3

6

2

4

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the ellipse with equation (x+5)249+(y−5)236=1\frac{(x+5)^2}{49} + \frac{(y-5)^2}{36} = 1 , what are the coordinates of the vertices along the x-axis?

(-12, 5) and (2, 5)

(12, 5) and (-2, 5)

(-12, -5) and (2, -5)

(-7, 5) and (-12, 5)

Tags

CCSS.HSG.GPE.A.1

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