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Definite Integration

MHT CET 2024 3rd May Morning Shift

MCQ+2 / -02024

If $\int_\limits0^{\frac{\pi}{3}} \frac{\tan \theta}{\sqrt{2 k \sec \theta}} d \theta=1-\frac{1}{\sqrt{2}},(k>0)$, then the value of $k$ is

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