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A-Level MathematicsYear 2020Q5

19 Turn over Question 5 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 5 is 10 marks) 20 6. M = −         k 5 7 1 1 1 2 1 1 where k is a constant (a) Given that k ≠ 4, find, in terms of k, the inverse of the matrix M. (4) (b) Find, in terms of p, the coordinates of the point where the following planes intersect. 2x + 5y + 7z = 1 x + y + z = p 2x + y − z = 2 (3) (c) (i) Find the value of q for which the following planes intersect in a straight line. 4x + 5y + 7z = 1 x + y + z = q 2x + y − z = 2 (ii) For this value of q, determine a vector equation for the line of intersection. (7) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_02_que_20201009.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)