NDA 2021 Mathematics question

MathematicsDeterminantsNDA 2021

If

Δ=

then what is

equal to?

Answer: (D)

Solution

Take 6 common from , so . Apply and : the determinant becomes . Take 3 common from and 4 from : \begin{vmatrix}$ d & a & g e & b & h f & c & i

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Question ID VK-033620