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

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Question 46

The circle C C\,C has equation x2+y2−8x+6y+5=0x^2 + y^2 - 8x + 6y + 5 = 0x2+y2−8x+6y+5=0

a.

Find the coordinates of the centre of CCC.

[2]
b.

Find the exact radius of CCC.

[1]
c.

The line with equation y=ky = ky=k, where k k\,k is a constant, is a tangent to CCC. Find the possible values of kkk.

[2]
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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