Coordinate Geometry
Submitted by alpha on Sat, 11/07/2009 - 14:06.
Consider three points
![$$P=[-sin(\beta-\alpha),-cos\beta],Q=[cos(\beta-\alpha),sin\beta]and R=[cos(\beta-\alpha+\theta),sin(\beta-\theta)]$$](/files/tex/1f7d0d24fd583d7949c4117adbba0691ab9a1fb7.png "$$P=[-sin(\beta-\alpha),-cos\beta],Q=[cos(\beta-\alpha),sin\beta]and R=[cos(\beta-\alpha+\theta),sin(\beta-\theta)]$$") |
,where 
,
then
a)P lies on the line segment RQ
b)Q lies on the line segment PR
c)R lies on the line segment QP
d)P,Q,R can not be collinear.