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Edexcel A-Level Mathematics AS P1.1.6 Solve Simultaneous Equations Questions

Practise Edexcel IAL Mathematics P1.1.6 by substituting one equation into another, solving the resulting quadratic or quartic and recovering full coordinates.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • Substitute a line equation into a curve to form a single quadratic or quartic.
  • Solve the resulting equation exactly before rejecting irrelevant roots where needed.
  • Substitute x-values back into the line or curve to give full intersection coordinates.

Edexcel A-Level Mathematics AS P1.1.6 Solve Simultaneous Equations Questions question 1

[Maximum number: 2]
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,

Hence find

the coordinates of N,

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