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Circles

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Question 21

The circle C C\,C has the equation x2+y2+10x−2y+k=0x^2 + y^2 + 10x - 2y + k = 0x2+y2+10x−2y+k=0 where k k\,k is a constant. Given that the point (1,4)(1, 4)(1,4) 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(4,7)A(4, 7)A(4,7) is a tangent to the circle C C\,C at the point BBB. Find the exact length of the line ABABAB.

[5]
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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