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Question 81

The circle C C\,C has centre (−1,1)(-1, 1)(−1,1) and passes through point (2,5)(2, 5)(2,5).

a.

Find an equation for CCC.

[4]
b.

Show that the point (−5,4)(-5, 4)(−5,4) lies on CCC.

[1]
c.

Find the gradient of the radius from the centre of C C\,C to the point (−5,4)(-5, 4)(−5,4).

[1]
d.

Find an equation of the tangent to C C\,C at (−5,4)(-5, 4)(−5,4). Give 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.

[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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