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find the equation of the circle whose centre lies on the line 5x-2y=9 and the circle touches both the positive axes

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  1. The center has to be on the line
    y = x
    if the circle is tangent to the x and y
    axes.

    so center on 3 x = 3 y = 9
    or
    (3,3)
    and the radius is 3
    so
    (x-3)^2 + (y-3)^2 = 9

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    Damon

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