1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Distance from curve to origin

  1. Mar 9, 2010 #1
    1. The problem statement, all variables and given/known dataFind 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...

    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. jcsd
  3. Mar 9, 2010 #2


    User Avatar
    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?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook