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Question 127

The circle C C\,C has centre (k,5)(k,5)(k,5), where k k\,k is an integer and k≠−4k\ne-4k=−4, and passes through the point A(−4,3)A(-4,3)A(−4,3).

a.

Find an equation for C C\,C in terms of kkk.

[3]
b.

Find an equation for the tangent to C C\,C at A A\,A in terms of kkk, 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.

[4]
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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