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Question 132

The circle C C\,C has centre (−2,k)(-2, k)(−2,k) and passes through point (1,k+5)(1, k + 5)(1,k+5), where k k\,k is a constant.

a.

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

[4]
b.

Show that the point (3,k+3)(3, k + 3)(3,k+3) lies on CCC.

[1]
c.

Find an equation of the tangent to C C\,C at (3,k+3)(3, k + 3)(3,k+3). Give your answer in terms of k k\,k in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a a\,a and b b\,b are integers.

[5]
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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