ECZ 2020 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions
Q is the midpoint of OC and OABP is a straight line with OA = AB = BP, OA = 2p and OQ = q.
(a(i)) Express OB in terms of p andorq.[1]
Verified working — step 1
OB = OA + AB. Since OA = AB = BP = 2p, AB = …(a(ii)) Express BC in terms of p andorq.[1]
Verified working — step 1
OC = 2·OQ = …(a(iii)) Express AQ in terms of p andorq.[1]
Verified working — step 1
AQ = OQ - OA = …(a(iv)) Express CP in terms of p andorq.[2]
Verified working — step 1
OP = OA + AB + BP = 2p + 2p + 2p = …(b) The gradient function of a curve is 3x + 2. Find the equation of the curve if it passes through the point (0, 2).[3]
Verified working — step 1
Given dydx= 3x + 2, integrate: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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