Answers to Odd Exercises on Ellipses Centered at the Origin
1. For the ellipse
x2
y2
+
= 1
9
4
the x-axis the MAJOR axis and the y-axis is the MINOR axis.
3. Ellipses are never graphs of functions.
True, since they will never pass the vertical line test.
5.
x2
y2
+
= 1
25 9
7.
x2
y2
+
= 1
36 49
9.
y2
x2
+
= 1
4
11. x2
y2
+
= 1
5
16
13. y2
9x2
+
= 1
4
15. 25x2 + y2 = 1
17. 4x2 + 9y2 = 1
19. 3x2 + 10y2 = 1
21. x2 + 4y2 = 16
23. x2 + 25y2 = 25
25. x2 + 4y2 = 9
27. 25x2 + 36y2 = 9
29. 9x2 + 12y2 = 12
31. x2 + 10y2 = 5
33. 
x2
y2
+
= 1
9 16
35. 
x2
y2
+
= 1
16 4
37.
y2
x2
+
= 1
4
39. Two of the vertices of an ellipse centered at the origin are (3,0) and (0,-4). What are the other two vertices?
(-3,0) and (0,4)
41. One of the vertices of an ellipse centered at the origin is (3,0).
If the ellipse passes through the point (1,8
/3),
find the equation of the ellipse.
x2
y2
+
= 1
4
100
43. One of the vertices of an ellipse centered at the origin is (-3,0).
If the ellipse passes through the point (
,2),
find the equation of the ellipse.
x2
y2
+
= 1
9
36