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 23

A curve C C\,C has the parametric equations

x=sin⁡2tx = \sin^2 tx=sin2t, y=sin⁡2ty = \sin 2ty=sin2t, where 0<t<π0 < t < \pi0<t<π

a.

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

y2=4x(1−x)y^2 = 4x(1 - x)y2=4x(1−x)

[4]
b.

State the set of values of x x\,x for which C C\,C is defined, and describe C C\,C geometrically.

[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