**4.b.4 - 2013 JUNE Q10**

10) The circle (

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

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)

*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*-axesiii) 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)