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1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

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Question 17

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.

Obtain the centre-radius form of CCC, and hence give its centre and radius.

[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

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

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