  We propose a new property of the zeros of exceptional orthogonal polynomials.
It has been known that exceptional orthogonal polynomials (XOP) have both real
and complex zeros. By fixing m variables at the imaginary parts of the complex
zeros of XOP, we find that in some cases the modulus of the energy function of
a many-particle system attains its maximum at the zeros of XOP. We give a
sufficient condition for this result with respect to the denominators of the
weight function of XOP.
