The root locus plot of the roots of the characteristics equation of a closed loop system having the open loop transfer function $$\frac{{{\text{K}}\left( {{\text{s}} + 1} \right)}}{{2\left( {2{\text{s}} + 1} \right)\left( {3{\text{s}} + 1} \right)}}$$ will have a definite number of loci for variation of K from 0 to $$\infty $$. The number of loci is
A. 1
B. 3
C. 4
D. 2
Answer: Option B
solution plz