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Mathematics · 2020

JEE Main · 9 January 2020, Shift 1 · Q72

The number of distinct solutions of the equation, log_(1/2)| sin x|=2- log_(1/2)| cos x| in the interval [0,2 π], is \ \ \ \.

The number of distinct solutions of the equation, $\displaystyle \log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $\displaystyle [0,2 \pi]$, is \_\_\_\_.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.