# Q8D : 8 The circle C has equation x + y -18x – 6y + 45 = 0 a. Find the radius of C and

Q8D : 8 The circle C has equation x + y -18x – 6y + 45 = 0
a. Find the radius of C and the coordinates of its centre P.
b. Show that the line y = 2x is a tangent to C and find the coordinates of its point of contactQ.
c. Show that the tangent to C at the point R(6, 9) has equation x – 2y + 12 = 0
d. Given that the tangents to C at Q and R meet at S show that QS = V5.

(550 words)

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