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

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Question 41

The sketch shows circle $C\,$ with centre $P (6.5, 7)$ . The line $l\,$ with equation $y=12x\displaystyle y = \frac{1}{2}x$ is a tangent to $C\,$ at point $Q (8, 4)$ .

Find an equation for $C$ .

[4]

The line with equation $y=12x+k\displaystyle y = \frac{1}{2}x + k$ , where $k\,$ is a non-zero constant, is also a tangent to $C$ . Find the value of $k$ .

[4]

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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