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C' is the centre of the circle passing t...

C' is the centre of the circle passing through the origin. Circle cúts the 'y' axis at 'A(0,4)' and the axis at 'B(4,0)'.
a) Write coordinates of C.
b) Write the equation of the circle.
c) '(0,0)' is a point on the circle. There is one more point on the circle with. 'x' and y coordinates'equal. Which is that point?

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