Solution Mathematics 4024

OABC is a parallelogram.
OA = = 2 3 a c and OC .
M is the midpoint of BC.
T is the point on OB such that OT : TB = 2 : 1.
(a) Find OB in terms of a and c.
OB = ................................................ [1]
(b) Express, as simply as possible, in terms of a and c
(i) AM
AM = ................................................ [1]
(ii) AT .
AT = ................................................ [2]
(c) Show that ATM is a straight line