ECZ 2024 · GCE Paper 2 · Question 3 — Vectors In Two Dimensions
Question from ECZ 2024 · GCE Paper 2 · Question 3
(a) Express 2x + 2 - 53x - 1 as a single fraction in its simplest form.[3]
Verified working — step 1
Common denominator (x + 2)(3x - 1):(b) In the following diagram, OA = a, OB = b and AX : AB = 2 : 3.
(b(i)) Express in terms of a and/or b
(b(i)(a)) AB,[1]
Verified working — step 1
Head minus tail: AB = …(b(i)(b)) XB,[1]
Verified working — step 1
AX : AB = …(b(i)(c)) XO.[1]
Verified working — step 1
XO = XA + AO(b(ii)) Given also that OY = 3OX, show that BY = a + b.[2]
Verified working — step 1
OX = -XO = (13)a + (23)bThe 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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question