Intersection of a Line and a Circle (Leaving Cert Mathematics): Quizzes

Three

Two points of intersection

$\Delta = 0$

No intersection

Substitute line into circle equation

Quadratic in $x$

$b^2 - 4ac$

When line is tangent

$5x^2 - 4x - 24 = 0$

$(x - h)^2 + (y - k)^2 = r^2$