Mathematics · Oct / Nov 2023 · Paper 22 · Question 26
0580
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Q X NOT TO SCALE T b a K P O The diagram shows a parallelogram OPQT. The position vector of P is a and the position vector of T is b. K is on PQ so that PK : KQ = 3 : 1. The lines OK and TQ are extended to meet at X. Find the position vector of X in terms of a and b. Give your answer in its simplest form. [3]
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b + 4 3 a [3]
B2 for correct unsimplified answer 1 = or QX a seen 3
or B1 for a correct route for OX or answer b + ka where k > 1 3 = + or OK a b seen 4 1 = or QX OP 3 4 = × or OX OK 3
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