Mathematics · 2020
JEE Main · 2 September 2020, Shift 2 · Q64
The set of all possible values of θ in the interval (0, π) for which the points (1,2) and ( sin θ, cos θ) lie on the same side of the line x+y=1 is:
The set of all possible values of $\displaystyle \theta$ in the interval $\displaystyle (0, \pi)$ for which the points $\displaystyle (1,2)$ and $\displaystyle (\sin \theta, \cos \theta)$ lie on the same side of the line $\displaystyle x+y=1$ is :
Official answer
(4)
$\displaystyle \left(0, \frac{\pi}{2}\right)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.