Mathematics · Oct / Nov 2022 · Paper 42 · Question 8
0580
As printed in the paper
The question as text
AB is a line with midpoint M. A is the point (2, 3) and M is the point (12, 7).
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8(a)[2]
(22, 11) [2]
B1 for each value
8(b)[4]
their 11 3 − oe or better their 22 − 2 1 −their m Substitution of (12, 7) into y = (their m)x + c leading to 2y + 5x = 74 final answer [4]
M1 M1 M1 Accept y – 7 = their m(x – 12) oe A1 Without error or omission
8(c)[1]
32 [1]
8(d)[2]
145 [2]
M1 for 1 2 × (their 32 – 3) × 10 oe or 1 2 × (7 − 3) 2 + (12 − 2) 2 × ( their 32 − 7) 2 + (2 12) − 2 oe
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