If $${{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+.....+{{C}_{n}}{{x}^{n}},$$ then the value of $${{C}_{0}}-{{C}_{2}}+{{C}_{4}}-{{C}_{6}}+.....$$is

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NA

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$${{2}^{n}}$$

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$${{2}^{n}}\cos \frac{n\pi }{2}$$

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$${{2}^{n}}\sin \frac{n\pi }{2}$$

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$${{2}^{n/2}}\cos \frac{n\pi }{4}$$

1.	If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+.....+{{C}_{n}}{{x}^{n}},\] then the value of \[{{C}_{0}}-{{C}_{2}}+{{C}_{4}}-{{C}_{6}}+.....\]is
A.	\[{{2}^{n}}\]
B.	\[{{2}^{n}}\cos \frac{n\pi }{2}\]
C.	\[{{2}^{n}}\sin \frac{n\pi }{2}\]
D.	\[{{2}^{n/2}}\cos \frac{n\pi }{4}\]
Answer» E.

If \[{{(1+x)}^{n}}={{C}_{0}}+{{C}_{1}}x+{{C}_{2}}{{x}^{2}}+.....+{{C}_{n}}{{x}^{n}},\] then the value of \[{{C}_{0}}-{{C}_{2}}+{{C}_{4}}-{{C}_{6}}+.....\]is

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