Answer to Question #49468 in Analytic Geometry for Mia

Question

a circle has the equation x(to the power of 2)+y(to the power of 2)+12x+8y+7=0

a) write down the coordinates of the centre C

b) i) show that the line with equation x=13-2y is a tangent to the circle.

ii) find the coordinates of the point Q where the tangent and circle meet

c) the point P lies on the given line such that PQ=QC. Find the two possible coordinates of P