Mathematics · May / June 2022 · Paper 42 · Question 3
0580
As printed in the paper
The question as text
A line, l, joins point F (3, 2) and point G (- 5, 4).
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3(a)[3]
8.25 or 8.246… [3]
M2 for ( ) ( ) −− 2 + − 2 3 5 2 4 oe or better
or M1 for ( ) and ( ) −− − 3 5 2 4 oe seen
3(b)[5]
[ y = ] 4 x + 7 [5]
B1 for [midpoint] (− 1, 3) soi −
M1 for [gradient of l =] 4 2 oe −− 5 3 1 − −
M1 for gradient 1 / their 4 M1dep on at least
M1 for their (− 1, 3) substituted into y = their m × x + c oe
3(c)[4]
(0, − 8) and (0, 16) [4]
B3 for (0, −8) or (0, 16) or for –8 and 16 OR
B2 for distance = [±]12 soi
or M1 for 132 – (5[–0])2 oe
B1 for both answers (0, k), k ≠ 0 or 4 ALT METHOD
B3 for (0, −8) or (0 , 16) or for – 8 and 16 OR
M2 for y2 – 8y – 128 [= 0] or for (y – 4)2 = 144 or better
or M1 for 132 = (–5 – 0)2 + (4 – y)2 oe
B1 for both answers (0, k), k ≠ 0 or 4
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