1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: 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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook