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MCQMediumJEE Main 2025 · 24 January, Shift 2Sets & Operations

Mathematics Question from JEE Main 2025 · 24 January, Shift 2

Let A={x∈(0,π)−{π2}:log⁡(2π)∣sin⁡x∣+log⁡(2π)∣cos⁡x∣=2}A = \left\{ x \in (0, \pi) - \left\{ \frac{\pi}{2} \right\} : \log_{\left(\frac{2}{\pi}\right)} |\sin x| + \log_{\left(\frac{2}{\pi}\right)} |\cos x| = 2 \right\} and B={x≥0:x(x−4)−3∣x−2∣+6=0}B = \left\{ x \geq 0 : \sqrt{x}\left(\sqrt{x} - 4\right) - 3\left|\sqrt{x} - 2\right| + 6 = 0 \right\}. Then n(A∪B)n(A \cup B) is equal to:

  • A

    88

  • B

    66

  • C

    22

  • D

    44

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