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1.4.3 Completing the square for a quadratic curve

1.4.3 Completing the square for a quadratic curve

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Question 2

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.

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b.

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

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Markscheme

1.4.3 Completing the square for a quadratic curve Questions

  1. A Level
  2. /Maths
  3. /1.4.3 Completing the square for a quadratic curve

8 exam-style questions on OCR (MEI) A Level Maths 1.4.3 Completing the square for a quadratic curve. Each one has a worked solution and a mark scheme showing where the marks go.

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