If (a-b)(b-c)(c-a)=2 and abc=6, then what is the value of vmatrix a&b&c ^2&b^2&c^2 ^3&b^3&c^3 vmatrix ?

NDA 2022 Mathematics question

If and , then what is the value of ?

Answer: (B)

Taking , , common from the three columns: . The

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Question ID VK-029293