Let S be the set of all


Let $\mathrm{S}$ be the set of all $\alpha \in R$ such that the equation, $\cos 2 x+\alpha \sin x=2 \alpha-7$ has a solution. Then $S$ is equal to :

  1. $[2,6]$

  2. $[3,7]$

  3. $R$

  4. $[1,4]$

Correct Option: 1


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