The circle C has equation x2 + y2 + 4x - 6y - 12 = 0.
(a) Find the centre and radius of C.
(b) The line y = 2x + 2 meets C at the points P and Q. Find the coordinates of P and Q.
(c) Find the exact length of PQ.
From Paper 2: Pure Mathematics 2
89 marks
A curve has parametric equations x = 3cos t, y = 2sin t, for 0 ≤ t < 2π.
(a) Find dy/dx in terms of t.
(b) Find the equation of the tangent to the curve at the point where t = π/4, in the form ax + by = c√2.
(c) Find a Cartesian equation of the curve.
Score 0 / 17 · 0 of 2 marked
This paper is written by Plasmo in the style of the Edexcel A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.
Coordinate geometry in the (x, y) plane Exam Questions: Edexcel A-Level Maths | Plasmo