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Question 12

The line y=mx−1y = mx - 1y=mx−1 is a tangent to the circle x2+4x+y2−7y+8=0x^2 + 4x + y^2 - 7y + 8 = 0x2+4x+y2−7y+8=0.

a.

Show that

17m2−72m−48=0 17m^2 - 72m - 48 = 0 17m2−72m−48=0
[5]
b.

Hence find the two possible values of mmm, giving your answers in exact form.

[2]
Markscheme

Circles Questions

  1. A Level
  2. /Maths
  3. /Circles

292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.

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