jee-advanced 2007 Q51

jee-advanced · India · paper1 Quadratic trigonometric equations
The number of solutions of the pair of equations $$2\sin^2\theta - \cos 2\theta = 0$$ $$2\cos^2\theta - 3\sin\theta = 0$$ in the interval $[0, 2\pi]$ is
(A) 0
(B) 1
(C) 2
(D) 4
The number of solutions of the pair of equations
$$2\sin^2\theta - \cos 2\theta = 0$$
$$2\cos^2\theta - 3\sin\theta = 0$$
in the interval $[0, 2\pi]$ is\\
(A) 0\\
(B) 1\\
(C) 2\\
(D) 4