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1.6.2 Coordinate geometry of the circle

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Question 18

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

1.6.2 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

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

Question 18

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

1.6.2 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.