JEE Main 2020 (2 Sep, Shift 2) Maths Q64: Straight Lines

Question

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

Accepted Answer

Option 4: $\left(0,\frac{\pi}{2}\right)$

Answer

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

Answer

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

Answer

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

Answer

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

JEE Main 2 September 2020, Shift 2, Maths Q64

Same idea in other shifts