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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

If then the value of is

Answer: (B)

Solution

Only the third row depends on , so the sum can be taken inside that row:

{}^{n} = , = - 1, (2r+1) = n(n+1) + (n+1) = (n+.

Δ_r = Missing \end{vmatrix}\begin{vmatrix} + 1 & & n(n+2) 1 & 1 & -1

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Question ID VK-110375