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Question 141

The circle C C\,C has equation

(x+2)2+(y−3)2=34 (x + 2)^2 + (y - 3)^2 = 34 (x+2)2+(y−3)2=34

and passes through point (1,k)(1, k)(1,k), where k>3k > 3k>3.

a.

Find the centre of C C\,C and the value of kkk.

[4]
b.

Show that the point (3,6)(3, 6)(3,6) lies on CCC.

[1]
c.

Find the equation to the tangent to C C\,C at (3,6)(3, 6)(3,6). Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.

[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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