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Straight Lines and Pair of Straight Lines question

2008 · Shift 2 · Q41

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PYQ Library
JEE Advanced
Mathematics
Straight Lines and Pair of Straight Lines
2008 · Shift 2 · Q41

Straight Lines and Pair of Straight Lines question

2008 · Shift 2 · Q41

JEE AdvancedMathematicsStraight Lines and Pair of Straight LinesMCQ+3 / −1

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 \lt \alpha ,\beta ,\theta \lt {\pi \over 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 are non-collinear

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