सिद्ध कीजिए कि `|{:(5_(C_(0)),5_(C_(3)),14),(5_(C_(1)),5_(C_(4)),1),(5_(C_(2)),5_(C_(5)),1):}|=-576`

(C_(0))/(1)+(C_(2))/(3)+(C_(4))/(5)+(C_(6))/(7)+....=

The value of the determinant |{:(""^5C_0,""^5C_3,14),(""^5C_1,""^5C_4,1),(""^5C_2,""^5C_5,1):}| is

The value of the determinant |{:(""^5C_0,""^5C_3,14),(""^5C_1,""^5C_4,1),(""^5C_2,""^5C_5,1):}| is

C_(1)+2.5C_(2)+3.5^(2)C_(3)+----1=

Select and write the correct answer from the given alternatives in each of the following:Value of |(""^5C_0,""^5C_3,14),(""^5C_1,""^5C_4,1),(""^5C_2,""^5C_5,1)|=

(C_(0)-C_(2)+C_(4)-C_(6)......)^(2)+(C_(1)-C_(3)+C_(5)-C_(7).........)^(2)=2^(n)

C_(0) + C_(2) + C_(4) + C_(6) +C_(8) = C_(1) + C_(3) + C_(5) + C_(7) = 128