1)Show that ABC is a right-angled triangle.

2)The line y= 2x -6 is the equation of the perpendicular bisector of AC. Find the equations of the other two perpendicular bisectors of the sides of the triangle.

3)Find the circumcentre of the triangle, the point where the perpendicular bisectors intersect.

4)Write down the equation of the circle which has all three vertices of the triangle on the circumference.

5)Find the shortest distance between the line y=2x-6 and the line y=2x-1.

6)Find the length of the line y=2x-1 inside the circle.

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