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1.6 C: Coordinate geometry in the (x, y) plane

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Question 17

The circle C C\,C has centre (−2,3)(-2, 3)(−2,3) and passes through the point (1,8)(1, 8)(1,8).

a.

Find an equation for CCC.

[3]
b.

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

[1]
c.

Find an equation for the tangent to C C\,C at (3,6)(3, 6)(3,6), giving 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.

[4]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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