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Math Help - I need help with writing a description of the locus of points that satisfy the given

  1. #1
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    Exclamation I need help with writing a description of the locus of points that satisfy the given

    Write a complete description of the locus of points that satisfy the given conditions.

    I have three questions:

    1. In a plane, 20 cm from point P, and 30 cm from point Q when PQ = 10 cm.


    2. In space, 20 cm from point P, and 30 cm from point Q when PQ = 60cm.


    3. In plane S and 10 m from point A, given that A is 6 m from plane S.
    Last edited by brandonb122; April 26th 2009 at 12:21 PM.
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  2. #2
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    Hi

    1. The set of points located at 20 cm from P is a circle (center P, radius 20 cm)
    The set of points located at 30 cm from Q is a circle (center Q, radius 30 cm)

    You need to study the intersect of these 2 circles which can be empty, one single point or 2 points, depending by the radii with respect to the distance PQ
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  3. #3
    MHF Contributor
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    2. is similar to 1. but in space you need to study the intersect of 2 spheres
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