The number of real solutions of \( \tan ^{-1} \sqrt{x(x+1)}+\sin ^{...

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The number of real solutions of \( \tan ^{-1} \sqrt{x(x+1)}+\sin ^{-1} \sqrt{x^{2}+x+1}=\frac{\pi}{2} \) is (1999, 2M)
\( \mathrm{P} \)
(a) zero
(b) one
(c) two
(d) infinite
IV
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