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When will i come across it

  1. Jun 5, 2012 #1

    pcm

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    a(x2+y2)+bz2=c

    what is the shape of the surface for different values(+ve, -ve) of a,b,c.
    i wanted to know in which class i will come across these things.
    i found this while solving a physics problem and i have no idea about the shape of given surface.
     
  2. jcsd
  3. Jun 5, 2012 #2
    Perhaps it would help to rearrange it a bit.

    a'(x^2+y^2) = c' -z^2

    And then, maybe to start, see what it looks like for z=0, 1 and, say, 2.
     
    Last edited: Jun 5, 2012
  4. Jun 5, 2012 #3

    pcm

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    ok so for positive a',b',c'
    as i go up the z axis the radius of the circle goes on decreasing.
    so what is the shape?
    same idea should work for other signs of a,b,c
     
    Last edited: Jun 5, 2012
  5. Jun 5, 2012 #4
    Hi pcm,
    maybe this link will be helpful ?
    Cheers...
     
  6. Jun 5, 2012 #5

    pcm

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    thanks Jorriss and oli4 for your help.
     
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