The number of solution of equation \( \pi \cot ^{-1}(x-1)+(\pi-1) \cot ^{-1} x=2 \pi-1 \) (a) 0 ...

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The number of solution of equation \( \pi \cot ^{-1}(x-1)+(\pi-1) \cot ^{-1} x=2 \pi-1 \)
(a) 0
(b) 1
(c) 2
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