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: Quadratic surface

  1. Nov 28, 2013 #1
    The book is showing the trace for z=0 to be a hyperbola however I see y=x and y=-x
  2. jcsd
  3. Nov 28, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    hi nameVoid! :smile:

    (try using the X2 button just above the Reply box :wink:)
    what book? :confused:

    yes, Z = 0 is the crossed lines y = ±x

    the curves for all other values of Z will be hyperbolas, fitting between y = ±x
  4. Nov 28, 2013 #3


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Also, since the lines ##y=\pm x## are the asymptotes for the family of level curves for that surface, they are sometimes considered to be degenerate hyperbolas.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted