Skip to content

Course home

Sign up

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

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 63

The curve C C\,C has parametric equations

x=3−2tt+1\displaystyle x = \frac{3 - 2t}{t + 1}x=t+13−2t​, y=3t+1t+1\displaystyle y = \frac{3t + 1}{t + 1}y=t+13t+1​, where 0≤t≤50 \leq t \leq 50≤t≤5

a.

Show that C C\,C is part of a straight line.

[3]
b.

Find the exact length of this line segment.

[2]
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