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    the point A(1,3) , B(1,7), C(7,7) lie on the circle (x-4)^2 + (y-5)^2 = 13

    by considering the gradients of AB and BC, show that AC is a diameter of the circle

    how do I do this?
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    (Original post by madfish)
    the point A(1,3) , B(1,7), C(7,7) lie on the circle (x-4)^2 + (y-5)^2 = 13

    by considering the gradients of AB and BC, show that AC is a diameter of the circle

    how do I do this?
    GCSE circle theorem :The angle in a semicircle is a right-angle.
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    (Original post by notnek)
    GCSE circle theorem :The angle in a semicircle is a right-angle.
    but how do we show it?
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    (Original post by madfish)
    but how do we show it?
    AB : A line segment that goes from (1,3) to (1,7) must be a segment of the line x=1.

    BC : A line segment that goes from (1,7) to (7,7) ...

    i.e. AB is vertical and...

    Have you drawn a diagram? It should become clear that <ABC is a right-angle.
 
 
 
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