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Mathematics · 2022

JEE Main · 25 June 2022, Shift 1 · Q25

The number of values of x in the interval ((π)/4, (7 π)/4) for which 14 cosec^2 x-2 sin^2 x=21-4 cos^2 x holds, is \ \ \ \.

The number of values of $\displaystyle x$ in the interval $\displaystyle \left(\frac{\pi}{4}, \frac{7 \pi}{4}\right)$ for which $\displaystyle 14 \operatorname{cosec}^2 x-2 \sin ^2 x=21-4 \cos ^2 x$ holds, is \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.