AB is a diameter of a circle with centre C = (- 2, 5). If A = (3, – 7). Find (i) the length of radius AC. (ii) the coordinates of B.
Answers:
(i)
(ii) As ‘C’ mid point of AB
-2 = (3 + x)/2 [∵ mid point formula]
Or – 4 = 3 + x
x = – 7
and 5 = (-7 + y)/2
and 10 = – 7 + y
and y = 17
∴ B(- 7, 17).