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IIT JEE Advanced 2008 Paper 2

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Question : 47

Total: 66

Consider three points
P ≡ (- sin (β - α) , - cos β), Q = (cos (β - α) , sin β) and R = (cos (β - α + θ) , sin (β - θ)) , where 0 < α , β , θ <

. Then

P lies on the line segment RQ.
Q lies on the line segment PR.
R lies on the line segment QP.
P, Q, R are non-collinear.

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