If \[\alpha \] is an imaginary cube root of unity, then for \[n\in N\], the value of \[{{\alpha }^{3n+1}}+{{\alpha }^{3n+3}}+{{\alpha }^{3n+5}}\] is [MP PET 1996; Pb. CET 2000]

If \[\alpha \] is an imaginary cube root of unity, then for \[n\in N

1.	If \[\alpha \] is an imaginary cube root of unity, then for \[n\in N\], the value of \[{{\alpha }^{3n+1}}+{{\alpha }^{3n+3}}+{{\alpha }^{3n+5}}\] is [MP PET 1996; Pb. CET 2000]
A.	\[-1\]
B.	0
C.	1
D.	3
Answer» C. 1

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If \[\alpha \] is an imaginary cube root of unity, then for \[n\in N\], the value of \[{{\alpha }^{3n+1}}+{{\alpha }^{3n+3}}+{{\alpha }^{3n+5}}\] is [MP PET 1996; Pb. CET 2000]

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