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**mturab110** The three Points A(-1,5), B(-7,7) and C(-1,1), and the circle that passes through them

A)

1 Find the slope of the line that passes through A and B.

2 Find the coordinates of the midpoint of the line segment AB

3 Find the equation of the perpendicular bisector of AB

4 show that the line corresponding to the parametric equations

x=t-4, y=3t+6

is the same line as part A (3) above

B)

Find the equation of the perpendicular bisector of the line segment AC

C)

1 From Answer to parts (A)(3) and (B) , find the center of the circle that passes through A B and C

2 Find the radius of this circle, giving your answer correct to two decimal places.

3 Write down the equation of this circle