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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 39

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

a.

Show that C C\,C has centre (3,6)(3, 6)(3,6) and radius 353\sqrt{5}35​.

[2]
b.

Show that the point P(6,12)P(6, 12)P(6,12) lies on CCC.

[1]
c.

Find an equation for the tangent to C C\,C at PPP, 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]
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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