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

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Question 62

The circle $C\,$ has equation $x^2 + y^2 - 6x - 12y = 0$

Show that $C\,$ has centre $(3, 6)$ and radius $353\sqrt{5}$ .

[2]

Show that the point $P (6, 12)$ lies on $C$ .

[1]

Find an equation for the tangent to $C\,$ at $P$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers.

[3]

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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