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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 45

A circle has equation x2+y2=10y−6x−9x^2 + y^2 = 10y - 6x - 9x2+y2=10y−6x−9

a.

By completing the square in x x\,x and in yyy, express the equation of the circle in the form (x−a)2+(y−b)2=k(x - a)^2 + (y - b)^2 = k(x−a)2+(y−b)2=k where aaa, b b\,b and k k\,k are constants to be found.

[3]
b.

Write down the coordinates of the centre of the circle and its radius.

[2]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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