Question

 Let a, b, c be such that b(a + c) ≠ 0. If |(a, a + 1, a - 1), (-b, b + 1, b - 1), (c, c - 1, c + 1)| + |(a +1, b + 1, c -1), (a - 1, b - 1, c + 1), ((-1)^{n + 2}a, (-1)^{n + 1}b, (-1)ⁿc)| = 0 then the value of ‘n’ is

(A) zero

(B) any even integer

(C) any odd integer

(D) any integer

Answer 1

Answer is (C) any odd integer

We have

which is true only if n + 2 is odd, that is, n is odd integer.