Solutions to this question by accurate drawing will not be accepted.
In the diagram, \(P\), \(Q\) and \(R\) are points on the circle.
Explain, with geometrical reason, why \(PR\) is the diameter of the circle.[3]
Find the equation of the circle in the form \(x^2+y^2+ax+by+c=0\), where \(a\), \(b\) and \(c\) are integers.[3]
Find the equation of the perpendicular bisector of \(PQ\).[3]
The point \(S\) lies on the circle such that it is furthest from the point \(Q\). Show that the coordinates of \(S\) are \((-15,-3)\) and hence calculate the area of the quadrilateral \(PQRS\).[3]