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Edexcel IAL Mathematics P1.2.2 parallel and perpendicular lines

The direct evidence focuses on gradient relationships: equal gradients for parallel lines, negative reciprocals for perpendicular lines and exact coordinates from intersections.

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.

P1.2.2 - Parallel and perpendicular lines 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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