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Edexcel A-Level Mathematics AS P1.2.2 Parallel and Perpendicular Lines Questions

Practise Edexcel IAL Mathematics P1.2.2 by forming perpendicular lines, proving right angles with gradients and finding resulting intersections or areas.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • Use negative reciprocal gradients to form perpendicular line equations.
  • Prove a right angle by combining gradients or coordinate differences from given points.
  • Find intersections, shortest distances or rectangle areas after deriving a related line.

Edexcel A-Level Mathematics AS P1.2.2 Parallel and Perpendicular Lines Questions question 1

[Maximum number: 3]
Figure 2

Figure 2

Figure 2 shows a sketch of
- the circle C with centre X(4,-3)
- the line l with equation y=52x−552y=\frac{5}{2} x-\frac{55}{2}

Given that l is the tangent to C at the point N,

show that an equation for the straight line passing through X and N is

2 x+5 y+7=0

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