ECZ 2015 · O-Level Paper 2 · Question 6 — Vectors In Two Dimensions
Question from ECZ 2015 · O-Level Paper 2 · Question 6
(a) Solve the inequation -2(x - 4) ≤ 2 - 4x.[2]
Verified working — step 1
Expand the bracket: -2x + 8 ≤ 2 - 4x.(b) In the diagram below, OABC is a parallelogram in which OA = a and AB = b. AC and OB meet at D such that OD = DB. OC is produced to E, such that CE = (12)OC. Express each of the following in terms of a and/or b
(b(i)) OB,[1]
Verified working — step 1
Route O to B through A.(b(ii)) AD,[2]
Verified working — step 1
BC = -OA = -a, so AC = AB + BC = b - a.(b(iii)) BE.[1]
Verified working — step 1
OC = AB = b (opposite sides of a parallelogram), so CE = (12)OC = (12)b.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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