A-Level MathematicsYear 2019Q9
page 05 MARKS 9. Vectors u and v have components and + ⎛ ⎞ ⎛ ⎞ ⎜ ⎟ ⎜ ⎟ − − ∈ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ p p p R 2 16 2 3 , 4 6 . (a) (i) Find an expression for u.v. (ii) Determine the values of p for which u and v are perpendicular. (b) Determine the value of p for which u and v are parallel. 10. The diagram shows the graphs with equations ( ) ( ) and = = + y f x y kf x a. y x ( ) = + y kf x a ( ) = y f x O (2,5) (0,3) (2,-1) (a) State the value of a. (b) Find the value of k. 11. Evaluate cos π π ⎛ ⎞ − ⎜ ⎟ ⎝ ⎠ ⌠⎮⌡ x dx 9 0 3 6 . 1 3 2 1 1 4 [Turn over
Paper Source:NH_Mathematics_all_2019.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)