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  4. If [.x]. denotes the greatest integer less than or equal to x , then the value of the determinant | [.e]. [.π ]. [π 2 - 6] [.π ]. [π 2 - 6] [.e]. [π 2 - 6] [.e]. [.π ]. | is<gwmw style=display:none;></gwmw>

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Q. If $\left[\right.x\left]\right.$ denotes the greatest integer less than or equal to $x$ , then the value of the determinant $\begin{vmatrix} \left[\right.e\left]\right. & \left[\right.\pi \left]\right. & \left[\pi ^{2} - 6\right] \\ \left[\right.\pi \left]\right. & \left[\pi ^{2} - 6\right] & \left[\right.e\left]\right. \\ \left[\pi ^{2} - 6\right] & \left[\right.e\left]\right. & \left[\right.\pi \left]\right. \end{vmatrix}$ is

NTA AbhyasNTA Abhyas 2022

Solution:

$-8$