Determining restrictions on an ellipse

  • Thread starter trigger352
  • Start date
  • #1
18
0
The equation [tex]Ax^2 + By^2 + Cx = 1 [/tex] represents an ellipse. If [tex]A > 0[/tex] and [tex]B > 0[/tex], what conditions must be satisfied if the ellipse has it's major axis on the y-axis?

The answer is "[tex] C = 0[/tex] and [tex]A > B[/tex]"

When I first wrote this question I thought [tex]A > B[/tex] should have been [tex]A < B[/tex]. So how do I figure out what the restrictions are? Why is [tex]A < B[/tex] wrong?
 
Last edited:

Answers and Replies

  • #2
793
4
Plot an ellipse where A > B and see if the answer is correct... then test your way of A < B.

Jameson

BTW: Your answer is correct. If B > A , then the major axis will run along the y-axis.
 
Last edited:
  • #3
dextercioby
Science Advisor
Homework Helper
Insights Author
13,130
684
C different from zero would automatically shift the center of the ellipse from the center of coordinates...

Daniel.
 

Related Threads on Determining restrictions on an ellipse

Replies
4
Views
139
  • Last Post
Replies
10
Views
3K
  • Last Post
Replies
2
Views
5K
Replies
9
Views
13K
  • Last Post
Replies
8
Views
694
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
17K
  • Last Post
Replies
9
Views
11K
  • Last Post
Replies
10
Views
3K
Top