The characteristic equation of a unity feedback control system is given by

\[
s^{3}+\mathrm{K}_{1} s^{2}+s+\mathrm{K}_{2}=0
\]

Consider the following statements in this regard.

1. For a given value of \(K_{1}\), all the root locus branches will terminate at infinity for variable \(K_{2}\) in the positive direction.

2. For a given value of \(K_{2}\), all the root locus branches will terminate at infinity for variable \(K_{1}\) in the positive direction.

3. For a given value of \(K_{2}\), only one root locus branch will terminate at infinity for variable \(K_{1}\) in the positive direction.

Of these statements:
(a) 1 and 2 are correct
(b) 3 alone is correct
(c) 2 alone is correct
(d) 1 \& 3 are correct.