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Math Help - Locus question

  1. #1
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    Exclamation Locus question

    (c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
    1) determine the locus of M.
    2) Let b be a fixed point of (c) . Determine the locus of N , the translate of M by the translation vector BO.(b to O )
    Last edited by mr fantastic; February 23rd 2010 at 11:49 PM. Reason: Changed post title
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  2. #2
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    Quote Originally Posted by lebanon View Post
    (c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
    1) determine the locus of M.
    2) Let b be a fixed point of (c) . Determine the locus of N , the translate of M by the translation vector BO.(b to O )


    1) What is M, anyway?

    2) How M "varies" so as the two circles remain externally tangent??

    Tonio
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  3. #3
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    Quote Originally Posted by tonio View Post
    1) What is M, anyway?

    2) How M "varies" so as the two circles remain externally tangent??

    Tonio
    M varies on (c") center o radius 4cm
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  4. #4
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    M varies on (c") center O radius 4cm
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  5. #5
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    (c) is a circle of fixed center o and of radius 3 cm , and (c') of radius 1 cm. Suppose that M varies such that the two circles remain externally tangent .
    You still have not said what M is! You also do not say what the center of (c') is. Apparently where M is controls the position of the center of (c'). Is it possible that M is the center of (c')?
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