Edexcel Mathematics June 2018 · Paper 1 · Question 14 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2018 · Paper 1 · Question 14 · 10 marks

14. A curve C has parametric equations x = 3 + 2 sin t, y = 4 + 2 cos 2t, 0  t < 2π (a) Show that all points on C satisfy y = 6 − (x − 3)2 (2) (b) (i) Sketch the curve C. (ii) Explain briefly why C does not include all points of y = 6 − (x − 3)2, x ∈  (3) The line with equation x + y = k, where k is a constant, intersects C at two distinct points. (c) State the range of values of k, writing your answer in set notation. (5) 43 44

Lesson: Equations of a Straight Line