ECZ 2020 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions
Question from ECZ 2020 · GCE Paper 2 · Question 6
(a) In the diagram below, Q is the midpoint of OC and OABP is a straight line with OA = AB = BP, OA = 2p and OQ = q. Express in terms of p and/or q
(a(i)) OB,[1]
Verified working — step 1
OA = AB = BP = 2p, so AB = …(a(ii)) BC,[1]
Verified working — step 1
Q is the midpoint of OC, so OC = 2 OQ = …(a(iii)) AQ,[1]
Verified working — step 1
AQ = OQ - OA = …(a(iv)) CP.[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
Integrate the gradient function to recover the curve: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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