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1.6.2 Coordinate geometry of the circle

Easy Medium Hard

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Question 6

The circle $C\,$ has equation $x^2 + y^2 - 4x + 6y - 12 = 0$

The point $A (6, 0)$ lies on $C$ .

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

[3]

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

[3]

$l\,$ crosses the $y$ -axis at the point $B$ . Find the length $A B$ .

[2]

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 6

The circle $C\,$ has equation $x^2 + y^2 - 4x + 6y - 12 = 0$

The point $A (6, 0)$ lies on $C$ .

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

[3]

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

[3]

$l\,$ crosses the $y$ -axis at the point $B$ . Find the length $A B$ .

[2]

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.