Let S be the set of all a Î R such that the equation, cos 2x + a sin x = 2a –7 has a solution. Then S is equal to :

Question:

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

  1. $\mathrm{R}$

  2. $[1,4]$

  3. $[3,7]$

  4. $[2,6]$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year April 12, 2019 (II)

Solution:

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