JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

The number of solutions of the equation in is

Answer: (A)

Solution

With , multiply by : , i.e.

13θ+12θ=5 .

( would need with — impossible, so no root is lost or spurious.)

Divide by and put $α=,\

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Question ID VK-108529