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Question 140

The points DDD, E E\,E and F F\,F have coordinates (−6,8)(-6, 8)(−6,8), (0,0)(0, 0)(0,0) and (8,6)(8, 6)(8,6) 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.

Verify that the equation of the circle C C\,C is (x−1)2+(y−7)2=50(x - 1)^2 + (y - 7)^2 = 50(x−1)2+(y−7)2=50.

[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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