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1 Unit 1: Pure Mathematics A

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Question 14

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]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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