Distance from curve to origin

  • Thread starter lockedup
  • Start date
  • #1
70
0

Homework Statement

Find the shortest distance from [tex]x^{2}-y^{2}=1[/tex] and the origin.

I was gone when my professor taught on this. I just want some hints to get started...

Homework Equations





The Attempt at a Solution

I graphed it and it's pretty easy to see that the answer is one. I just don't know how to prove it...
 

Answers and Replies

  • #2
ideasrule
Homework Helper
2,266
0
The square of distance is x^2+y^2, so you have to minimize that. Can you express x^2+y^2 in terms of only one variable?
 

Related Threads on Distance from curve to origin

  • Last Post
Replies
2
Views
10K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
1
Views
824
Replies
1
Views
5K
Replies
15
Views
3K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
2K
Top