If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \), then....
If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \), then
\( \mathrm{P} \)
(A) \( x^{100}+y^{100}+z^{100}=\frac{9}{x^{101}+y^{101}+z^{101}} \)
(B) \( x^{22}+y^{42}+z^{62}-x^{220}-y^{420}-z^{620}=0 \)
(C) \( x^{50}+y^{25}+z^{5}=0 \)
(D) \( \frac{x^{2008}+y^{2008}+z^{2008}}{(x y z)^{2009}}=0 \)
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