A-Level MathematicsYear 2021Q5
16 5. The parabola C has equation y 2 = 32x and the hyperbola H has equation x y 2 2 36 9 1 − = (a) Write down the equations of the asymptotes of H. (1) The line l1 is normal to C and parallel to the asymptote of H with positive gradient. The line l2 is normal to C and parallel to the asymptote of H with negative gradient. (b) Determine (i) an equation for l1 (ii) an equation for l2 (4) The lines l1 and l2 meet H at the points P and Q respectively. (c) Find the area of the triangle OPQ, where O is the origin. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9FM0_3A_que_20211109.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)