Exams › JEE Main › Maths

Let a, b, c be such that b(a + c) ≠ 0. If | a+1 a−1 ; −b b+1 ; c c−1 | = | a+1 a−1 ; a−1 b−1 ; c+1 c−1 | = 0, then the value of 'n' is

1. zero
2. any even integer
3. any odd integer
4. any integer

Correct answer: any odd integer

Solution

The determinants being zero indicates that the rows of the matrices are linearly dependent. This condition typically leads to a specific relationship among the variables, which in this case implies that 'n' must take on odd integer values to satisfy the dependencies established by the equations.

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