1. The line y=2x-12 meets the coordinate axes at A and B. The line AB is a diameter of the circle. Find the equation of the circle?

2. The Points A(7,4) B(8,-7) and C(-4,3) lie on a circle

a) Show that triangle ABC has a right angle?

b) Find the equation of the circle?

3. Show that triangle ABC is isosceles where A(0,5) , B(2,6) and C(3,4)?

Thanks