Question

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

(1)  \(\Big(0,\frac{\pi}{4}\Big)\)

(2)  \(\Big(0,\frac{3\pi}{4}\Big)\)

(3)  \(\Big(\frac{\pi}{4},\frac{3\pi}{4}\Big)\)

(4)  \(\Big(0,\frac{\pi}{2}\Big)\)

Answer 1

Answer(4)

Given that both points (1, 2) & (sin θ , cosθ) lie on same side of the line x + y – 1 = 0