$\Delta=\left|\begin{array}{ccc}p & 2-i & i+1 \\ 2+i & q & 3+i \\ 1-i & 3-i & r\end{array}\right|$ is always

real imaginary zero none of these

real

Since $\Delta=\bar{\Delta} \quad  ∴ \Delta$ is real only Hence (1) is the correct answer