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Question 75

The circle C C\,C has the equation x2+y2−6x+2y=kx^2 + y^2 - 6x + 2y = kx2+y2−6x+2y=k, where k k\,k is a positive constant.

a.

Find, in terms of kkk, the coordinates of the centre and the radius of CCC.

[3]
b.

C C\,C crosses the y y\,y axis at the points A A\,A and BBB. Find, in terms of kkk, the coordinates of the points A A\,A and BBB.

[3]
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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