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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
The range of values of θ\theta in the interval (0,π)(0, \pi) such that the points (3,2)(3,2) and (cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta) lie on the same side of the line x+y−1=0x+y-1=0, is
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Correct option: A
(0,π2)\left(0, \frac{\pi}{2}\right)
Option A (0,π2)\left(0, \frac{\pi}{2}\right) is correct because the values of θ\theta in this interval ensure that both points lie on the same side of the line x+y-1=0.

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