A particle crossing the origin of co-ordinates at time t = 0, moves in the xy-plane with a constant acceleration a in the y-direction. If its equation of motion is \[\text{y = b}{{\text{x}}^{\text{2}}}\] (b is a constant), its velocity component in the x-direction is

• A. \[\sqrt{\frac{2\text{b}}{\text{a}}}\]        
• B.        \[\sqrt{\frac{\text{a}}{2\text{b}}}\]
• C. \[\sqrt{\frac{\text{a}}{\text{b}}}\]         
• D.        \[\sqrt{\frac{\text{b}}{\text{a}}}\]