In the diagram. TBD tangent to circles BAPC and BNKM at B. Ak sa chord of the larger circle and angent to the smaller cncle at K Chords MN BK intersect at 1. PA is produced to D BMC BNA and BRKP are straight Prove that 5.1 MN CA (4) (4) 5.2 AKMN is isosceles (3) (3) 5.3 NK AP (4) (4) 5.4 DP is a tangent to the circle passing through points A,B and K (S) (S) [16]