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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 47

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

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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