Mathematics · Oct / Nov 2021 · Paper 42 · Question 9
0580
As printed in the paper
Show the answer and mark scheme
9(a)(i)[1]
(3, 1) [1]
9(a)(ii)[1]
− 10 15 [1]
9(a)(iii)[2]
3.61 or 3.605 to 3.606 [2]
M1 for (–2)2 + 32 oe
9(b)(i)[2]
1 2 c [1]
a + 1 2 c oe [1]
FT a + their (b)(i)(a)
9(b)(ii)[3]
= 1 O P 3(2a + c) oe = 1 and OQ 2 (2a + c) oe OR = 2 3 (a + 1 2 c) O P OR = 1 3(a + 1 PQ 2 c) and correct comment e.g. have the same base vector or that they are multiples of one another and they share a common point OR , 2 PQ e.g. OQ = 1.5 O P = O P [1]
or PQ 2
B1 for O P factorised or for correct multiplicative statement on relationship without factorised vectors , 2 , e.g. OQ 3 OQ = 1.5 O P = O P , 2 PQ = O P = 2 1 1 1.5 + c a + c a 3 3 2 1.5 oe [1]
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