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2.1 - 2016 Q3

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3) The circle C has centre P(7, 8) and passes through the point Q(10, 13), as shown in Figure 2.

(a) Find the length PQ, giving your answer as an exact value. (2)

(b) Hence write down an equation for C. (2)

The line l is a tangent to C at the point Q, as shown in Figure 2.

​(c) Find an equation for l, giving your answer in the form ax + by + c = 0, where a, b and c are integers. (4)
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