Let p=(x+y+z) and q=xyz. If vmatrix x&1&1 1&y&1 1&1&z vmatrix is positive, then which one of the following is correct?

NDA 2026 Mathematics question

Let and . If is positive, then which one of the following is correct?

Answer: (C)

Expanding along the first row: . The determinant is positive, so , i.e. .

Question ID VK-030274