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QUIZ

11th
grade

Mathematics

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384

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4 years

Mathematics

11th

grade

Ellipse

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14 questions

14 questions

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1. Multiple Choice
5 minutes
1 pt
Which is a horizontal ellipse?
$\frac{x^2}{4}+\frac{y^2}{9}=1$
$\frac{x^2}{16}+\frac{y^2}{9}=1$
$\frac{x^2}{16}+\frac{y^2}{16}=1$
$x^2+\frac{y^2}{49}=1$
2. Multiple Choice
5 minutes
1 pt
What are the vertices of
$\frac{x^2}{16}+\frac{y^2}{25}=1?$
$\left(-4,\ 0\right)\ and\ \left(4,\ 0\right)$
$\left(0,\ -4\right)\ and\ \left(0,\ 4\right)$
$\left(-5,\ 0\right)\ and\ \left(5,\ 0\right)$
$\left(0,\ -5\right)\ and\ \left(0,\ 5\right)$
3. Fill in the Blank
5 minutes
1 pt
How long is the major axis of the given ellipse? Format for answer: k where k is a number. Note: There should be no spaces and no units.
$\frac{x^2}{64}+\frac{\left(y+2\right)^2}{49}=1$
4. Multiple Choice
5 minutes
1 pt
Check all the boxes that describe the ellipse
$\frac{x^2}{4}+\frac{y^2}{81}=1$
The center is $\left(0,0\right).$
The major axis is 81.
The minor axis is 4.
The graph is a horizontal ellipse.
5. Multiple Choice
5 minutes
1 pt
What is the equation of the given graph?
$\frac{x^2}{7}+\frac{y^2}{6}=1$
$\frac{x^2}{14}+\frac{y^2}{12}=1$
$\frac{x^2}{49}+\frac{y^2}{36}=1$
$\frac{x^2}{36}+\frac{y^2}{49}=1$
6. Fill in the Blank
5 minutes
1 pt
How far is a focus from the center of the given ellipse? Format for answer: k where k is a number. Note: There should be no spaces and no units.
7. Fill in the Blank
5 minutes
1 pt
How long is the minor axis of the given ellipse? Format for answer: k where k is a number. Note: There should be no spaces and no units.
$\frac{x^2}{9}+y^2=1$
8. Multiple Choice
5 minutes
1 pt
What are the co-vertices of the given ellipse?
$\left(5,\ -4\right)\ and\ \left(5,\ 2\right)$
$\left(-4,\ 5\right)\ and\ \left(2,\ 5\right)$
$\left(-1,\ -2\right)\ and\ \left(-1,\ 12\right)$
$\left(0,\ 0\right)\ and\ \left(2,\ 5\right)$
9. Multiple Choice
5 minutes
1 pt
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?
$\frac{x^2}{36}+\frac{y^2}{25}=1$
$\frac{x^2}{25}+\frac{y^2}{36}=1$
$\frac{x^2}{144}+\frac{y^2}{100}=1$
$\frac{x^2}{100}+\frac{y^2}{144}=1$
10. Fill in the Blank
5 minutes
1 pt
An ellipse is a set of points in which the _____ of the distances from the two foci is constant.
11. Fill in the Blank
5 minutes
1 pt
What is the center of the given ellipse? Format for answer: (x,y) where x and y are numbers. Note: There should be no spaces.
$\frac{\left(x+5\right)^2}{64}+\frac{\left(y-8\right)^2}{4}=1$
12. Fill in the Blank
5 minutes
1 pt
In an ellipse, the largest value among a, b, or c is _____.
13. Multiple Choice
5 minutes
1 pt
What is the equation to get the foci of the ellipse?
$c^2=a^2-b^2$
$c^2=a^2+b^2$
$c=\sqrt{a-b}$
$c=\sqrt{a+b}$
14. Multiple Choice
5 minutes
1 pt

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

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