Mathematics · May / June 2025 · Paper 21 · Question 22
0580
As printed in the paper
The question as text
A curve has equation y x Ĩx x 9 Ī 2 ¢ Ë Ë . x y x x 3 12 9 d d 2 ¢ Ä Ë
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
22(a)[2]
[n =] 3, [q =] – 6 [2]
B1 for each correct value
22(b)[4]
(1, 4) and (3, 0) [4]
B3 for (1, 4) or (3, 0) or for two correct values of x
or M2 for [3](x – 1)(x – 3) [ = 0] oe ( ) ( ) 2 −− 12 ± − 12 −×× 4 3 9 or x = oe × 2 3
or M1 for writing d y x = 0 d or for 3 x 2 − 12 x + 9 = 0
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