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1.3 Coordinate geometry in the (x, y) plane

1.3 Coordinate geometry in the (x, y) plane

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Question 5

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

1.3 Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate geometry in the (x, y) plane

76 exam-style questions on WJEC A Level Maths 1.3 Coordinate geometry in the (x, y) plane, covering 1.3.1 Coordinate geometry in the (x, y) plane, 1.3.2 Coordinate geometry in the (x, y) plane, 1.3.3 Coordinate geometry in the (x, y) plane, and 1.3.4 Coordinate geometry in the (x, y) plane. Each one has a worked solution and a mark scheme showing where the marks go.

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