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1.2 Co-ordinate geometry in the x, y plane

1.2 Co-ordinate geometry in the x, y plane

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Question 4
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The circle C C\,C has the equation x2+y2+8x−4y+k=0x^2 + y^2 + 8x - 4y + k = 0x2+y2+8x−4y+k=0 where k k\,k is a constant. Given that the point (1,5)(1, 5)(1,5) lies on CCC.

a.

Find the value of kkk.

[2]
b.

Find the coordinates of the centre and the radius of CCC.

[3]
c.

A straight line that passes through the point A(3,7)A(3, 7)A(3,7) is a tangent to the circle C C\,C at the point BBB. Find the exact length of the line ABABAB.

[5]
Markscheme

1.2 Co-ordinate geometry in the x, y plane Questions

  1. A Level
  2. /Maths
  3. /1.2 Co-ordinate geometry in the x, y plane

67 exam-style questions on CCEA A Level Maths 1.2 Co-ordinate geometry in the x, y plane, covering 1.2.1 Co-ordinate geometry in the x, y plane, 1.2.2 Co-ordinate geometry in the x, y plane, 1.2.3 Co-ordinate geometry in the x, y plane, 1.2.4 Co-ordinate geometry in the x, y plane, 1.2.5 Co-ordinate geometry in the x, y plane, 1.2.6 Co-ordinate geometry in the x, y plane, 1.2.7 Co-ordinate geometry in the x, y plane, and 1.2 Co-ordinate 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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