Right-click a curve in the 3D View or the Object List to access these options.
Applies a selected tool automatically along the active curve. For example, if you select the Paint Brush tool, then select Stroke On Curve, the paint stroke is applied evenly along the curve based on the Paint Brush properties. See also Sculpt or paint using curves.
Controls whether the curve is constrained to the surface of the object as you modify the curve using the Grab Curve tool. When on, all points of the curve stay constrained to the surface as you modify the curve with the Grab Curve tool. When off, the Grab Curve tool lets you lift segments of the curve off the surface. See also Modify curves.