[Math] Does a system of equations consisting of a linear equation and a quadratic equation have infinitely many solutions

algebra-precalculusquadraticssystems of equations

A system of equations consisting of a linear equation and a quadratic equation has infinitely many solutions.
Is the statement true?
Can the statement be true even sometimes?

Best Answer

No, not at all. Consider a line and a circle. The intersection can atmost be 2 points. Or a line and a parabola for that matter.