The number of real solutions of the equation \( \tan ^{-1} \sqrt{x^{2}-3 x+2}+\cos ^{-1} \sqrt{4...

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The number of real solutions of the equation \( \tan ^{-1} \sqrt{x^{2}-3 x+2}+\cos ^{-1} \sqrt{4 x-x^{2}-3}=\pi \) is
(1) one
(2) two
(3) zero
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