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Question 103

The points DDD, E E\,E and F F\,F have coordinates (7,0)(7, 0)(7,0), (1,−2)(1, -2)(1,−2) and (−1,4)(-1, 4)(−1,4) respectively.

a.

Show that angle DEF DEF\,DEF is a right angle.

[4]
b.

Given that DDD, E E\,E and F F\,F all lie on the circle CCC, find the coordinates of the centre of CCC.

[3]
c.

Find the equation of the circle CCC, giving your answer in the form x2+y2+ax+by+c=0x^2+y^2+ax+by+c=0x2+y2+ax+by+c=0.

[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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