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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 11

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

1.3 Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate geometry in the (x, y) plane

76 exam-style questions on WJEC A Level Maths 1.3 Coordinate geometry in the (x, y) plane, covering 1.3.1 Coordinate geometry in the (x, y) plane, 1.3.2 Coordinate geometry in the (x, y) plane, 1.3.3 Coordinate geometry in the (x, y) plane, and 1.3.4 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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