Let m be a positive integer and Delta(r...

Let m be a positive integer and `Delta_(r)=|(2r-1,""^(m)C_(r),1),(m^(2)-1,2^(m),m+1),(sin^(2)(m^(2)),sin^(2)(m),sin^(2)(m+1))|(0lerlem)` Then the value of `sum_(r=0)^(m)Delta_(r )` is given by a)0 b)`m^(2)-1` c)`2^(m)` d)`2^(m)sin^(2)(2^(m))`

A

0

B

`m^(2)-1`

C

`2^(m)`

D

`2^(m)sin^(2)(2^(m))`

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The correct Answer is:

A

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Let m be a positive integer and `Delta_(r)=|(2r-1,""^(m)C_(r),1),(m^(2)-1,2^(m),m+1),(sin^(2)(m^(2)),sin^(2)(m),sin^(2)(m+1))|(0lerlem)` Then the value of `sum_(r=0)^(m)Delta_(r )` is given by a)0 b)`m^(2)-1` c)`2^(m)` d)`2^(m)sin^(2)(2^(m))`

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