1. foci {image} None of these choices 1. 2. 3. 4. 5.
Find the foci and eccentricity of the ellipse. {image} Choose the correct answer from the following. 1.
foci {image}
None of these choices 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find an equation for the ellipse whose graph is shown. {applet}
{image}
None of these choices 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Find an equation for the ellipse that satisfies the given conditions : foci ( {image} 7, 0 ), length of major axis 16. Choose the correct answer from the following. 1. 2.
{image}
None of these choices 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Find an equation for the ellipse that satisfies the given conditions : eccentricity {image} , foci on y-axis, length of major axis 18. Choose the correct answer from the following: 1.
{image}
None of these choices 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. The ancillary circle of an ellipse is the circle with radius equal to half the length of the minor axis and a center the same as the ellipse. The ancillary circle is thus the largest circle that can fit within an ellipse. Find an equation for the ancillary circle of the ellipse x y 2 = 256. Choose the correct answer from the following.
x 2 + y 2 = 16
x 2 + y 2 = 256
x 2 + y 2 = 1
x 2 + y 2 = 25
None of these choices 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50