A Circle Intersecting the Axes (Leaving Cert Mathematics): Flashcards

$y = 0$

$x = 0$

$(x, 0)$

$(0, y)$

Set $y = 0$ and solve for $x$

Set $x = 0$ and solve for $y$

Two points, one point, or no points

Circle touches axis at exactly one point

$|b| = r$

$|a| = r$

$±$ (plus/minus) when taking square roots

Any point on x-axis has y-coordinate of 0