Coordinate Geometry

Consider three points

$$P=[-sin(\beta-\alpha),-cos\beta],Q=[cos(\beta-\alpha),sin\beta]and R=[cos(\beta-\alpha+\theta),sin(\beta-\theta)]$$

,where $ 0<\alpha,\beta,\theta<\frac{\pi}{4} $ ,
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.

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