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

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Question 50

A set of points P(x,y)P(x, y)P(x,y) is defined by the parametric equations

x=t+23t−1,y=103t−1,t≠13 x = \frac{t + 2}{3t - 1}, \quad y = \frac{10}{3t - 1}, \quad t \neq \frac{1}{3} x=3t−1t+2​,y=3t−110​,t=31​
a.

Show that all points P(x,y)P(x, y)P(x,y) lie on a straight line.

[4]
b.

Hence or otherwise, find the x x\,x coordinate of the point of intersection of this line and the line with equation y=2x+11y = 2x + 11y=2x+11.

[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.

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