Pair Work on Circles

Mathenlatics 4 Second Quarter August 8 2010

Vork on this problem set by pairs Answers and complete solutions should be printed or written on Letter or A4 size white paper Work with a different partner from the first pair work

For numbers 1 to 7 find the equation of the circle(s) satisfying the given conditions (3 points each)

For numbers 8 to 10 solve each problem as specified (4 points each)

1 Center at (3 -1) and passes through the point (-22)

2 Has a diameter whose endpoints are (-24) and (42)

3 Center at (5 -2) the midpoint of the segment joining the center and one of the points on the circle is (-21)

4 Passes through P(5 -4) with R( - -8) being the point ~ of the way from the center to P

5 Passes through the points (-10) (02) and (20) (Use systems of equations)

6 PaRIeS through the points (-4-3) (-21) and (-3-6) (Use analytic geometry)

7 Radius is 2 and passing through the points (12) and (14)

8 The circle x2+y2 +4x -- 6y k passes through the point (-1-1) Find the value of k the radius and the center of the circle

9 For what values of rand 9 will x 2 + y2 + rx + sy 25 0 be the equation of a circle having center at (3A) Fiud the radius of this cirde

10 Determine the value(s) of kso that the graph of

k 22 4k 110+ y + 2z - 4y = ---2-shy

is a circle a point or an empty set