circle ws.notebook
November 08, 2010
CIRCLES
SELCRIC
1)
Circle O is centered at the origin and passes through the points A(3,4) and B(4,-3). Show that the
perpendicular bisector of AB passes through the center of the circle.
2) The tangent of a circle is perpendicular to the radius at the point of tangency. If Circle P is centered at the
origin and AT is tangent to circle P at the point (8,15). Find the equation of AT
A
(8,15)
T
(0,0)
3) * Problem 1 allows us to use the fact that the perpendicular bisector of a cord passes though
the center of a circle
Given a circle that passes through the points (3,11), (11,-1) and (-14,4), find the coordinates of the
center
(3,11)
(-14,4)
(?,?)
(11,-1)
4) Find the equation of the line tangent to circle S centered at (1,1) if the point of tangency is (5,4)
Nov 6­2:43 PM
1