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A-Level MathematicsYear 2016Q1

Page 03 MARKS Attempt ALL questions Total marks – 60 1. Find the equation of the line passing through the point ( ) 2, 3 − which is parallel to the line with equation 4 7 + = y x . 2. Given that 3 12 8 = + y x x, where 0 > x , find dy dx . 3. A sequence is defined by the recurrence relation 1 10 3 + = + n n u u 1 with 3 6 = u . (a) Find the value of u4. (b) Explain why this sequence approaches a limit as →∞ n . (c) Calculate this limit. 4. A and B are the points −7, 3 ( ) and ( ) 1, 5 . AB is a diameter of a circle. y x B A O Find the equation of this circle. 2 3 1 1 2 3 [Turn over

Mathematics A-Level Diagram
Paper Source:NH_Mathematics_all_2016.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)