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ellipse

Authored by Nadira Herenda

Mathematics

11th Grade

Used 19+ times

ellipse
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12 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the vertices of

x216+y225=1?\frac{x^2}{16}+\frac{y^2}{25}=1?  

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

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

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

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

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the equation of the given graph?

x27+y26=1\frac{x^2}{7}+\frac{y^2}{6}=1

x214+y212=1\frac{x^2}{14}+\frac{y^2}{12}=1

x249+y236=1\frac{x^2}{49}+\frac{y^2}{36}=1

x236+y249=1\frac{x^2}{36}+\frac{y^2}{49}=1

3.

MULTIPLE CHOICE QUESTION

2 mins • 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?

x236+y225=1\frac{x^2}{36}+\frac{y^2}{25}=1  

x225+y236=1\frac{x^2}{25}+\frac{y^2}{36}=1  

x2144+y2100=1\frac{x^2}{144}+\frac{y^2}{100}=1  

x2100+y2144=1\frac{x^2}{100}+\frac{y^2}{144}=1  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is a horizontal ellipse?

x24+y29=1\frac{x^2}{4}+\frac{y^2}{9}=1

x216+y29=1\frac{x^2}{16}+\frac{y^2}{9}=1

x216+y216=1\frac{x^2}{16}+\frac{y^2}{16}=1

x2+y249=1x^2+\frac{y^2}{49}=1

5.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Check all the boxes that describe the ellipse

x24+y281=1\frac{x^2}{4}+\frac{y^2}{81}=1  

The center is  (0,0).\left(0,0\right).  

The major axis is 81.

The minor axis is 4.

The graph is a horizontal ellipse.

6.

FILL IN THE BLANKS QUESTION

2 mins • 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.

(x+5)264+(y−8)24=1\frac{\left(x+5\right)^2}{64}+\frac{\left(y-8\right)^2}{4}=1  



(a)  

7.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

In an ellipse, the largest value among a, b, or c is (a)   .

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