Which of the following statements is TRUE for four distinct points A,B,C and D in a plane?
(a) If chord AB subtends equal angles at the centre O and at point C, then A,B,C lie on a circle.
(b) If chord AB subtends equal angles at points C and D on opposite sides of AB, then A,B,C,D lie on a circle.
(c) If chord AB subtends equal angles at points C and D on the same side of AB, then A,B,C,D lie on a circle.
(d) If chord AB subtends supplementary angles at points C and D on the same side of AB, then A,B,C,D lie on a circle.