Skip to content

Course home

1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687
Question 31

A curve C C\,C has parametric equations

x=2+tan⁡t,y=2sec⁡2t−3,0≤t≤2π, t≠π2,3π2 x = 2 + \tan t, \quad y = 2\sec^2 t - 3, \quad 0 \leq t \leq 2\pi, \, t \neq \frac{\pi}{2}, \frac{3\pi}{2} x=2+tant,y=2sec2t−3,0≤t≤2π,t=2π​,23π​
a.

Find an equation for C C\,C in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.

[3]
b.

Sketch the curve CCC.

[3]
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