11 The coordinates of points \(A , B\) and \(C\) are (6, 4), ( \(p , 7\) ) and (14, 18) respectively, where \(p\) is a constant. The line \(A B\) is perpendicular to the line \(B C\).
- Given that \(p < 10\), find the value of \(p\).
A circle passes through the points \(A , B\) and \(C\). - Find the equation of the circle.
- Find the equation of the tangent to the circle at \(C\), giving the answer in the form \(d x + e y + f = 0\), where \(d , e\) and \(f\) are integers.
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.