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1.6.2 Coordinate geometry of the circle

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Question 7

The circle $C\,$ has equation $x^2 + y^2 + 8x - 4y + k = 0$ where $k\,$ is a constant.

$C\,$ passes through the point $(1, 5)$ .

Find the value of $k$ .

[2]

Find the coordinates of the centre of $C\,$ and the exact radius of $C$ .

[3]

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

[4]

Markscheme

1.6.2 Coordinate geometry of the circle Questions

A Level
Maths
1.6.2 Coordinate geometry of the circle

60 exam-style questions on AQA A Level Maths 1.6.2 Coordinate geometry of the circle. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.2 Coordinate geometry of the circle

Question bank

1.6.2 Coordinate geometry of the circle

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Question 7

The circle $C\,$ has equation $x^2 + y^2 + 8x - 4y + k = 0$ where $k\,$ is a constant.

$C\,$ passes through the point $(1, 5)$ .

Find the value of $k$ .

[2]

Find the coordinates of the centre of $C\,$ and the exact radius of $C$ .

[3]

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

[4]

Markscheme

1.6.2 Coordinate geometry of the circle Questions

A Level
Maths
1.6.2 Coordinate geometry of the circle

60 exam-style questions on AQA A Level Maths 1.6.2 Coordinate geometry of the circle. Each one has a worked solution and a mark scheme showing where the marks go.