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 9

A curve C C\,C has the parametric equations

x=tan⁡2tx = \tan^2 tx=tan2t, y=cos⁡ty = \cos ty=cost, where 0<t<π2\displaystyle 0 < t < \frac{\pi}{2}0<t<2π​

a.

Show that a Cartesian equation for C C\,C is

y2(x+1)=1y^2(x + 1) = 1y2(x+1)=1

[4]
b.

State, using set notation, the domain and the range of CCC.

[2]
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