Which of the following statements on the square of atomic wave function at a point near to the nucleus is not correct?

${\mathrm{\Psi }}^2$ cannot be imaginary. ${\mathrm{\Psi }}^2$ is positive for a real wave function and ${\mathrm{\Psi }}^{\ast }\mathrm{\Psi }$  (where ${\mathrm{\Psi }}^{\ast }$ is the complex conjugate of $\mathrm{\Psi }$) is positive.

The square of the wave function (i.e.,ψ²) at a point gives the probability density of the electron at that point.