The value of the determinant vmatrix a&b&c &m&n &q&r vmatrix is equal to

NDA 2025 Mathematics question

The value of the determinant is equal to

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

Interchanging two rows changes the sign of a determinant. Options (a) and (b) are each obtained from the given determinant by one row interchange, so each equals . Option

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Question ID VK-030147