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JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

In the , BC is produced to D and and are roots of the equation . Then

Answer: (C)

Solution

*(Figure: triangle ABC with BC produced beyond C to D; exterior angle ACD .)*

is the exterior angle at , so . From the quadratic, and . Then

Missing argument for \frac\frac{3π

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Question ID VK-110033