The velocities of two particles \[A\] and \[B\] of same mass are \[{{\vec{V}}_{A}}=a\vec{i}\,and\,{{\vec{V}}_{B}}=b\hat{j}\] where a and b are constants. The acceleration of particle\[A\] is \[(2a\hat{i}+4b\hat{j})\] and acceleration of particle \[B\] is \[(a\hat{i}-4b\hat{j})\] (in \[m/{{s}^{2}}\]). The centre of mass of two particle will move in

• A. straight line       
• B. parabola
• C. ellipse  
• D. circle