Ellipse

Ellipse

"Boardwork" Problems

Instructions

For this activity, we are going to practice a "see one, do one" concept where the first slide would contain a video of sample problem answered and explained by the instructor then the following slide would be a similar problem to be answered by the student. You will set the pace on the progress of the slides. Make sure that you only proceed if you are ready to answer since you will only have 5 minutes for each of the problems. (There are only 2 problems for this activity.) Good luck!

Multiple Choice

Which is a horizontal ellipse?

• $$\frac{x^2}{4}+\frac{y^2}{9}=1$$

• $$\frac{x^2}{16}+\frac{y^2}{9}=1$$

• $$\frac{x^2}{16}+\frac{y^2}{16}=1$$

• $$x^2+\frac{y^2}{49}=1$$

Multiple Choice

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?

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

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

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

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

Multiple Choice

Identify the center of the ellipse.

• (0,0)

• (−3,1)

• (1,−3)

• (3,−1)

Multiple Choice

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

• $$c^2=a^2-b^2$$

• $$c^2=a^2+b^2$$

• $$c=\sqrt{a-b}$$

• $$c=\sqrt{a+b}$$

Multiple Choice

What is the distance of the foci from the center of the given ellipse: $$x^2+4y^2-2x-12y-26=0$$

• $$\sqrt[]{2}$$

• $$\sqrt[]{3}$$

• $$\sqrt[]{5}$$

• $$\sqrt[]{6}$$

Multiple Choice

What are the coordinates of the foci of the given ellipse?

• (-3 , 4) and (-3 , 0)

• (3 , -4) and (3 , 0)

• (-3 , -4) and (-3 , 0)

• (-3 , 4) and (3 , 0)

Multiple Choice

Find the standard equation of the given ellipse

The next slide is another problem similar to the previous one.

Multiple Choice

Find the standard equation of the given ellipse

FIN