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

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Question 4

The circle C C\,C has equation x2+y2−4x+6y−12=0x^2 + y^2 - 4x + 6y - 12 = 0x2+y2−4x+6y−12=0

The point A(6,0)A(6, 0)A(6,0) lies on CCC.

a.

Find the coordinates of the centre of C C\,C and the radius of CCC.

[3]
b.

The line l l\,l is the tangent to C C\,C at AAA. Find an equation for lll, 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.

[3]
c.

l l\,l crosses the yyy-axis at the point BBB. Find the length ABABAB.

[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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