Skip to content

Course home

Sign up

1.6 C: Coordinate geometry in the (x, y) plane

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 12

A curve G G\,G has parametric equations

x=3cos⁡t,y=2−4sin⁡2t0≤t≤2π x = 3 \cos t, \quad y = 2 - 4 \sin^2 t \quad 0 \leq t \leq 2\pi x=3cost,y=2−4sin2t0≤t≤2π
a.

Find an equation for G G\,G 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

[3]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank