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Question 83

The circle C C\,C has the equation x2+y2−2x+4y=0x^2 + y^2 - 2x + 4y = 0x2+y2−2x+4y=0

a.

Write the equation of C C\,C in the form (x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2(x−a)2+(y−b)2=r2.

[2]
b.

Hence find (i) the coordinates of the centre of C C\,C and (ii) the exact radius of CCC.

[1]
c.

The line with equation y=ky = ky=k where k k\,k is a constant, is a tangent to CCC. Find the possible values of kkk.

[2]
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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