👉 In mathematics, a degenerate rational curve is a type of rational curve that has been cut out by a singular point on its own. This means that the degree of the polynomial defining the curve is zero at the singular point, and the curve becomes degenerate at this point. For example, consider the curve defined by the equation: \[ y^2 = x^3 + 1 \] This curve is degenerate because it has been cut out by the point (0, 1),