In the diagram, a circle passes through D, B and E. Diameter ED of the circle is produced to C and AC is a tangent to the circle at B. M is a point on DE such that AM 
 DE. AM and chord BE intersect at F.
10.1 Prove, giving reasons, that:
10.1.1 FBDM is a cyclic quadrilateral (3)
10.1.2 B3 = F2 (4)
10.1.3 CDB ||| CBE (3)
10.2 If it is further given that CD = 2 units and DE = 6 units, calculate the length of:
10.2.1 BC (3)
10.2.2 DB (4)
[17]
TOTAL: 150