The line 2x + 5y = 20 cuts the x-axis at A and the y-axis at B.

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The line 2x + 5y = 20 cuts the x-axis at A and the y-axis at B. The point C is the midpoint of the line AB. Find the equation of the circle that has centre C and that passes through the points A and B. Show that this circle also passes through the point O(0, 0).

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