JEE Main 2019 Mathematics question
Not in JEE Main syllabus
Let S be the set of all α ∈ R such that the equation, cos 2x + α sin x = 2α − 7 has a solution. Then S is equal to:
Answer: (A)
Solution
has roots s = 2 and s = (α − 4)/2; need −1 ≤ (α − 4)/2 ≤ 1.