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6.2 Equation of a Circle

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Question 2

The circle C C\,C has the equation

x2+y2−4x+6y+k=0, x^2+y^2-4x+6y+k=0, x2+y2−4x+6y+k=0,

where k k\,k is a constant. Given that the point (7,−2)(7,-2)(7,−2) lies on CCC.

a.

Find the value of kkk.

[2]
b.

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

[3]
c.

A straight line that passes through the point A(9,2)A(9,2)A(9,2) is tangent to the circle C C\,C at the point BBB.

Find the exact length of the line ABABAB.

[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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