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Math Help - Points on a plane PSAT question [Please confirm]

  1. #1
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    Points on a plane PSAT question [Please confirm]

    1. Points A, B, and X do not all lie on the same line. Point X is 5 units from A and 3 units from B. How many other points in the same plane as A, B, and X are also 5 units from A and 3 units from B?


    A. None
    B. One
    C. Two
    D. Four
    E. More than four


    I am stumped on this question.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Masterthief1324 View Post
    1. Points A, B, and X do not all lie on the same line. Point X is 5 units from A and 3 units from B. How many other points in the same plane as A, B, and X are also 5 units from A and 3 units from B?


    A. None
    B. One
    C. Two
    D. Four
    E. More than four


    I am stumped on this question.
    In how many points do the circes of radius 5 centred at A and of radius 3 centred at B intersect (we may assume that A abd B are less than 8 units appart)?

    CB
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