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Homework Help: Identifying similar families of cuvers

  1. Oct 13, 2011 #1
    1. The problem statement, all variables and given/known data

    State which of the following families of curves are similar sets.

    2. Relevant equations


    3. The attempt at a solution

    4)I don't know which type of this curve is!
    5)I don't know which type of this curve is!
    6)this seems like circle. but in circle both terms x and y are squared and here is cube.

    Kindly tell me whether I am wrong in guessing families or not??
  2. jcsd
  3. Oct 13, 2011 #2


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    Science Advisor

    I am not sure what you mean by "similar" but only the first and third are conic sections- and the third is an ellipse, not a hyperbola. (2 "looks like" a parabola but is not.)
  4. Oct 13, 2011 #3
    Similar means like families.
    Ok yes 3rd one is ellipse. But what about 2,4,5 and 6. How to deduce the types of these curves? Any hint will be appreciable.
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