Geometry

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In circle O, diameter RS has endpoints R(3a,2b-1) and S(a-6,4b+5). Find the coordinates of point O in terms of a and b. Express your answer in simplest form.

  • Geometry -

    we know that the end points of a diameter have radially symmetric coordinates. so,

    3a = -(a-6)
    3a = -a + 6
    4a = 6
    a = 3/2

    2b-1 = -(4b+5)
    2b-1 = -4b-5
    6b = -4
    b = -2/3

    R = (9/2,-7/3)
    S = (-9/2,7/3)

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