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Mathematics · 2021

JEE Main · 26 February 2021, Shift 1 · Q89

If √ 3 ( cos^2 x)=(√ 3 -1) cos x+1, the number of solutions of the given equation when x ∈[0, (π)/2] is \ \ \ \.

If $\displaystyle \sqrt{3}\left(\cos ^2 x\right)=(\sqrt{3}-1) \cos x+1$, the number of solutions of the given equation when $\displaystyle x \in\left[0, \frac{\pi}{2}\right]$ is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.