Mathematics · Oct / Nov 2025 · Paper 21 · Question 24
0580
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0580/21/O/N/25 © UCLES 2025 [Turn over 24 A O Ð Ě C Ħ b a NOT TO SCALE In the diagram, OÐĚ and ACĚ are straight lines. O is the origin, the position vector of A is a and the position vector of Ð is b. ÈC OA 3 1 ¢ Ħ is the midpoint of CĚ. Find the position vector of Ħ. Give your answer in terms of a and b, in its simplest form. [4] Questions 25 and 26 are printed on the next page.
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1 6 a + 5 4 b final answer [6]
4
B3 for 1 b + 1 − DM or MC = 6 a 4 CM = 1 4 b – 1 or MD or 6 a BD = 1 OD = 3 2 b
or B2 for 2 b or or M1 for a correct route for OM
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