NDA 2025 Mathematics question

MathematicsDeterminantsNDA 2025

Consider the following statements in respect of the determinant

Δ=

I. is positive if . II. is negative if . III. is zero if . How many of the statements given above are correct?

Answer: (B)

Solution

Apply and : the rows become , and . Expanding along the third column, .

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Question ID VK-030020