If a, b, c are the sides of a triangle ABC and p is the perimeter of the triangle, then what is vmatrix p+c&a&b &p+a&b &a&p+b vmatrix equal to?

NDA 2025 Mathematics question

If are the sides of a triangle and is the perimeter of the triangle, then what is equal to?

Answer: (B)

Apply : every entry of the first column becomes . Taking out:

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Question ID VK-030150