If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y+{{\sin }^{-1}}z=\pi ,\] then \[{{x}^{4}}+{{y}^{4}}+{{z}^{4}}+4{{x}^{2}}{{y}^{2}}{{z}^{2}}=k({{x}^{2}}{{y}^{2}}+{{y}^{2}}{{z}^{2}}+{{z}^{2}}{{x}^{2}}).\]where k =

If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y+{{\sin }^{-1}}z=\pi ,\] then \[{{

1.	If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y+{{\sin }^{-1}}z=\pi ,\] then \[{{x}^{4}}+{{y}^{4}}+{{z}^{4}}+4{{x}^{2}}{{y}^{2}}{{z}^{2}}=k({{x}^{2}}{{y}^{2}}+{{y}^{2}}{{z}^{2}}+{{z}^{2}}{{x}^{2}}).\]where k =
A.	1
B.	2
C.	4
D.	None of these
Answer» C. 4

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If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y+{{\sin }^{-1}}z=\pi ,\] then \[{{x}^{4}}+{{y}^{4}}+{{z}^{4}}+4{{x}^{2}}{{y}^{2}}{{z}^{2}}=k({{x}^{2}}{{y}^{2}}+{{y}^{2}}{{z}^{2}}+{{z}^{2}}{{x}^{2}}).\]where k =

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