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1.3 Coordinate geometry in the (x, y) plane

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Question 37

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 $Q (8, 4)$ .

a.

Find an equation for $C$ .

[4]

b.

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]

1.3 Coordinate geometry in the (x, y) plane Questions

A Level
Maths
1.3 Coordinate geometry in the (x, y) plane