# Distance from curve to origin

## Homework Statement

Find 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...

## 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

ideasrule
Homework Helper
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?