OP = a
OA = 3a,
OB = b and
M is the mid-point of AB.

(a) Express BP and AB in terms of a and b.
(b) Express MB in terms of a and b.
(c) If X lies on BP produced so that BX = k. BP, express
MX in terms of a, b and k.
(d) Find the value of k if MX is parallel to BO.


Just d ;)