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4.b.4 - 2013 JUNE Q10

10) The circle (x – 3)2 + (y – 2)2 = 20 has centre C.

i) Write down the radius of the circle and the coordinates of C. (2)

ii) Find the coordinates of the intersections of the circle with the x- and y-axes

iii) Show that the points A (1,6) and B (7,4) lie on the circle. Find the coordinates of the midpoint of AB. Find also the distance of the chord AB from the centre of the circle. (5)
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