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Sets and Relations question

2025 · 24 Jan · Shift 2 · Q29
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  5. /2025 · 24 Jan · Shift 2 · Q29

Sets and Relations question

2025 · 24 Jan · Shift 2 · Q29

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let A={x∈(0,π)−{π2}:log⁡(2/π)∣sin⁡x∣+log⁡(2/π)∣cos⁡x∣=2}\mathrm{A}=\left\{x \in(0, \pi)-\left\{\frac{\pi}{2}\right\}: \log _{(2 /\pi)}|\sin x|+\log _{(2 / \pi)}|\cos x|=2\right\}A={x∈(0,π)−{2π​}:log(2/π)​∣sinx∣+log(2/π)​∣cosx∣=2} and B={x⩾0:x(x−4)−3∣x−2∣+6=0}\mathrm{B}=\{x \geqslant 0: \sqrt{x}(\sqrt{x}-4)-3|\sqrt{x}-2|+6=0\}B={x⩾0:x​(x​−4)−3∣x​−2∣+6=0}. Then n(A∪B)\mathrm{n}(\mathrm{A} \cup \mathrm{B})n(A∪B) is equal to :
  1. A
    4
  2. B
    8
  3. C
    6
  4. D
    2
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