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Thread: Line & Circle?

  1. #1

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    Frenzied Member Vlatko's Avatar
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    Question Line & Circle?

    For which value of k the line x = k*y touches the circle
    x^2 + y^2 - 10y + 16 = 0 in one point.
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  2. #2
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    The way to do this is to find a polynomial in y for which the line crosses the circle at it's roots, eg



    we now need to find the values of k for which there is only one solution, eg 100-64(kČ+1) = 0

    solve that and you have your answer.
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  3. #3

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    Frenzied Member Vlatko's Avatar
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    Yes, k is +3/4 or -3/4. I thought so . Thanks.
    I am become death, the destroyer of worlds.
    mail:vlatkovr@hotmail.com

    • Visual Basic 6.0 & .NET
    • Visual C++ 6.0 & .NET
    • ASP
    • LISP
    • PROLOG
    • C
    • Pascal

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