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A-Level MathematicsYear 2019Q9

27 Turn over Question 9 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 9 is 9 marks) 28 10. A B O Figure 7 Figure 7 shows a sketch of triangle OAB. The point C is such that OC | = 2OA |. The point M is the midpoint of AB. The straight line through C and M cuts OB at the point N. Given OA | = a and OB | = b (a) Find CM | in terms of a and b (2) (b) Show that ON | = 3 2 2 λ ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠ a + 1 2 Ȝb , where Ȝ is a scalar constant. (2) (c) Hence prove that ON : NB = 2 : 1 (2) _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9MA0_02_que_20190613.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)