In the diagram ∆LNR is drawn with points L and R on the circumference of a circle. NR cuts the circle at M. K is a point on LR with KN the bisector of LN̂R. KN cuts the chord LM at O. LK = LO. LÔK = 65° and KN̂M = 25°.
9.1 Prove that LN is a diameter of a circle passing through L, M and N. (5)
Determine the size of . (5)
9.3 Show that LN is a tangent to circle LMR. (3)
9.4 Is LR a diameter to circle LMR? Motivate your answer. (2)