The set of all values of $\lambda$ for which the equation $\cos ^2 2 x-2 \sin ^4 x-2 \cos ^2 x=\lambda$

  • [JEE MAIN 2023]
  • A

    $[-2,-1]$

  • B

    $\left[-2,-\frac{3}{2}\right]$

  • C

    $\left[-1,-\frac{1}{2}\right]$

  • D

    $\left[-\frac{3}{2},-1\right]$

Similar Questions

Let $S=\{x \in R: \cos (x)+\cos (\sqrt{2} x)<2\}$, then

  • [KVPY 2018]

For $x \in(0, \pi)$, the equation $\sin x+2 \sin 2 x-\sin 3 x=3$ has

  • [IIT 2014]

The angles $\alpha, \beta, \gamma$ of a triangle satisfy the equations $2 \sin \alpha+3 \cos \beta=3 \sqrt{2}$ and $3 \sin \beta+2 \cos \alpha=1$. Then, angle $\gamma$ equals

  • [KVPY 2013]

If $n$ is any integer, then the general solution of the equation $\cos x - \sin x = \frac{1}{{\sqrt 2 }}$ is

The number of integral values of $k$, for which the equation $7\cos x + 5\sin x = 2k + 1$ has a solution, is

  • [IIT 2002]