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6.2 Equation of a Circle

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Question 8

The circle C C\,C has the equation

x2+y2+8x−4y+c=0, x^2+y^2+8x-4y+c=0, x2+y2+8x−4y+c=0,

where c c\,c is a constant. Given that the point (1,5)(1,5)(1,5) lies on CCC.

a.

Find the value of ccc.

[2]
b.

Find the coordinates of the centre and the radius of CCC.

[3]
c.

A straight line that passes through the point A(3,k)A(3,k)A(3,k) is tangent to the circle C C\,C at the point BBB, where k>2k>2k>2.

Find the exact length of the line AB AB\,AB in terms of kkk.

[5]
Markscheme

6.2 Equation of a Circle Questions

  1. A Level
  2. /Maths
  3. /6.2 Equation of a Circle

18 exam-style questions on Edexcel A Level Maths 6.2 Equation of a Circle. Each one has a worked solution and a mark scheme showing where the marks go.

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