First of all Thank you very much HallsofIvy...
actually I wanted to satisy all the six boundary conditions using a single bezier curve rather than using mutiple, peice wise continues Bezier curves. I dont mind using any higher order Bezier curve. I wanted to construct the curve which should always pass through the 3 specified coordinates and also satisfying the slope constrains at these 3 coordinates using a single Bezier curve and then tamper the curve using the control points with out loosing my constriants.
I am not sure wether we can do this or not