Ab Is Diameter Of Circle With Centre C 2 5 If 3 7

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).