The value of a for which the volume of parallelepiped formed by i+a j+ k, j+a k and a i+ k becomes minimum is

MHT CET 2024 Mathematics question

The value of a for which the volume of parallelepiped formed by and becomes minimum is

Answer: (B)

Volume . Expand the determinant: . The extremum of is found from . The second derivative is : at

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Question ID VK-093432