Skip to content

Course home

1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

EasyMediumHard
1234567891011121314151617181920212223
Question 10

The curve C1 C_1\,C1​ has parametric equations

x=6cos⁡tx = 6\cos tx=6cost, y=25sin⁡ty = 2\sqrt{5}\sin ty=25​sint, where 0≤t<2π0 \leq t < 2\pi0≤t<2π

C1 C_1\,C1​ meets the circle C2C_2C2​, which has equation x2+y2=25x^2 + y^2 = 25x2+y2=25, at four distinct points, as shown in Figure 1 below.

Figure for question 2

Find the exact Cartesian coordinates of the four points of intersection.

[6]
Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank