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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

The number of distinct solutions of , , is

Answer: (D)

Solution

We need . Multiplying by :

1+θ=Missing argument for \sqrt\sqrt3θ\ ⇒\ Missing argument for \sqrt\sqrt3θ-θ=1\ ⇒\ θ-Missing argument for \tfrac\tfrac12θ=Missing argument for \tfrac\tfrac12\ ⇒\ (θ+)=Missing argument for \tfrac\tfrac12 .

So , i.e.

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Question ID VK-108528