# Distance from curve to origin

1. Mar 9, 2010

### lockedup

1. The problem statement, all variables and given/known dataFind the shortest distance from $$x^{2}-y^{2}=1$$ and the origin.

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

2. Relevant equations

3. The attempt at a solutionI graphed it and it's pretty easy to see that the answer is one. I just don't know how to prove it...

2. Mar 9, 2010

### ideasrule

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?