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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

If the equation has only one solution then is

Answer: (C)

Solution

Since , , with equality only when **and** , i.e.

x=2kπ and λ x=0\ \ (as 2λ x=1-2λ x).

always works. If is rational (), then gives , so

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Question ID VK-108566