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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Analyzing +4 | -1
If sin⁡(2cos⁡−1(cot⁡(2tan⁡−1x)))=0,x>0\sin \left(2 \cos ^{-1}\left(\cot \left(2 \tan ^{-1} x\right)\right)\right)=0, x > 0, then which of the following is incorrect?
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Correct option: C
x=3x=3
Option B (I, II, III only) is correct because the given conditions lead to (I-A)(I-B) = 0, implying that |I-A| = 0 and |I-B| = 0, and A+B = AB+I.

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