October 12, 2012
Find an equation of theline containing the centers of the two circles
in (a) point-slope, (b) slope-intercept, and (c) general forms.
x2 + y2 - 6x + 10y + 4 = 0
x2 + y2 + 4x + 8y + 9 = 0
The figure shows two circles (labeled A and B) intersecting at a common point.
Line segmentL goes through the centers of both circles.
If the midpoint of line segmentL is the intersection point (1, 5),
determine theGENERAL equation for each of the circles.
October 12, 2012
In the figure, circleP and circle Q share the same center point.
Segment AB is a diameter of the larger circleP. Given the general equations
below for the circles,determine the length of segment BC.
Give your answer in simplified radical form.
Circle P:
Circle Q:
On a snowy January afternoon, while his lawn was under many inches of snow, Mark is listening to a
landscape architect explain where he needs to place sprinkler heads in his year so that it is watered
adequately. The landscape architect suggested that Mark place a sprinkler head at the center of a
circle described by the equation 2x+ y2 + 4x +8y + 11 = 0 and another sprinkler head at the center of a
circle described by the equation 2x+ y2 + 18x - 18y - 187 = 0. Has Mark gotten good advice from his
consultant?