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

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Question 12

The line l1 l_1\,l1​ has equation y=2x−1y = 2x - 1y=2x−1

The line l2 l_2\,l2​ passes through the point P(1,6)P(1, 6)P(1,6) and is perpendicular to l1l_1l1​.

a.

Find an equation for l2l_2l2​, giving your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.

[3]
b.

The lines l1 l_1\,l1​ and l2 l_2\,l2​ meet at the point QQQ. Find the coordinates of QQQ.

[2]
c.

Find the exact length PQPQPQ.

[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.

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