Question

What will be the value of f(x) = \(\begin{vmatrix}p & 2 – i & i + 1 \\2 + i & q & 3 + i \\1 – i & 3 – i & r \end {vmatrix}\)?

(a) Real

(b) Imaginary

(c) Zero

(d) Can’t be predicted

The question was posed to me during an interview.

I need to ask this question from Application of Determinants in section Determinants of Mathematics – Class 12

Answer 1

Correct option is (a) Real

Easiest explanation: Here, f(x) = f’(x)

=> f(x) is purely real