Here are the questions I am having trouble with, any help would be appreciated, thanks.
2. Let chords AB and CD of circle O intersect at point E. If BE = x , EA = 3x -1, DE = x -1, and CE = 4x ,
find the lengths of these chords.
3. From a point P outside of circle O, let PRbe tangent to the circle at R and let secant PM intersect the circle at
M and N (with M between P and N). If PM = 9 and MN = 3, find PR.
4. From a point P outside of circle O, let PR and PS be tangent to the circle at R and S respectively. Find OP if the
radius of the circle is 5 and PR = 13.
8. If ABCD is a rectangle and P is any point in its interior, prove that AP2+PC2=PB2+PD2.