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)
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)