The set of all possible values of q in the interval (0, p) for which the points (1, 2) and (sin , cos ) q q lie on the same side of the line x + y = 1 is :
Question:
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 :
$\left(0, \frac{\pi}{2}\right)$
$\left(\frac{\pi}{4}, \frac{3 \pi}{4}\right)$
$\left(0, \frac{3 \pi}{4}\right)$
$\left(0, \frac{\pi}{4}\right)$
Correct Option: 1
JEE Main Previous Year1 Question of JEE Main from MathematicsTrigonometry chapter.