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Circles

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Question 53

The circle C C\,C has the equation x2+y2−6x+8y=−21x^2 + y^2 - 6x + 8y = -21x2+y2−6x+8y=−21

i.

Complete the square to show that the equation of C C\,C can be written in the form

(x−3)2+(y+4)2=4. (x - 3)^2 + (y + 4)^2 = 4. (x−3)2+(y+4)2=4.
[2]
ii.

Find the coordinates of the centre of CCC.

[1]
iii.

Find the radius of CCC.

[1]
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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