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

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Question 28

57%

The circle $C\,$ has the equation $x^2 + y^2 + 8x - 4y + k = 0$ where $k\,$ is a constant. Given that the point $(1, 5)$ lies on $C$ .

Find the value of $k$ .

[2]

Find the coordinates of the centre and the radius of $C$ .

[3]

A straight line that passes through the point $A (3, 7)$ is a tangent to the circle $C\,$ at the point $B$ . Find the exact length of the line $A B$ .

[5]

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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