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1.2.5 Completing the square

1.2.5 Completing the square

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Question 1

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

a.

Rearrange the circle equation into centre-radius form by completing one square in each variable: (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.

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Markscheme

1.2.5 Completing the square Questions

  1. A Level
  2. /Maths
  3. /1.2.5 Completing the square

8 exam-style questions on OCR A Level Maths 1.2.5 Completing the square. Each one has a worked solution and a mark scheme showing where the marks go.

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