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The set of all possible values of \(\theta\) in the interval \((0, \pi)\) for which the points \((1,2)\) and \((\sin \th…

Q1

The set of all possible values of \(\theta\) in the interval \((0, \pi)\) for which the points \((1,2)\) and \((\sin \theta, \cos \theta)\) lie on the same side of the line \(x+y=1\) is:


[JEE Main 2020, 2 Sep (Shift 2)]

a

\(\left(0, \frac{\pi}{2}\right)\)

b

\(\left(\frac{\pi}{4}, \frac{3 \pi}{4}\right)\)

c

\(\left(0, \frac{\pi}{4}\right)\)

d

\(\left(0, \frac{3 \pi}{4}\right)\)

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