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1.6 C: Coordinate geometry in the (x, y) plane

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Question 32

50%

The circle $C\,$ has the equation $x^2 + y^2 - 14x + 2y + 40 = 0$

Find (i) the coordinates of the centre of $C\,$ and (ii) the exact radius of $C$ .

[3]

The line with equation $y = k x$ where $k\,$ is a constant, meets $C\,$ at two distinct points. Find the range of possible values of $k$ .

[6]

Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

A Level
Maths
1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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