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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` are non-colinear.

Text Solution

Verified by Experts

For collinear points
`Delta=|{:(-sin(beta-alpha),-cosbeta,1),(co(beta-alpha),sinbeta,1),(cos(beta-alpha+theta),sin(beta-theta),1):}|`
Clearly, `Delta ne 0` for any value of `alpha`, `beta`, `theta` .
Hence, points are non-collinear.
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