In Figure 4, OAB is a triangle with OA = a and OB = b. D is the midpoint of O4. (a) Write down, in terms of a or b, or a and b.

(i) OD

(ii) AB

C is the point on AB such that AC:CB - 1:2

(b) Find in terms of a and b. simplifying your answer, an expression for OC.

E is the point on AB such that AE : ED - 2:1

(c) Find in terms of a and b. simplifying your answer, an expression for DE.

F is the intersection of the lines OC and DE.

Given that OFOC

(d) express OF in terms of i, a and b

Given that DF-DE.

(e) express OF in terms of , a and b

() Find the value of w and the value of i.

(2)

(2)

(2)

(1)

(2)

(4)​