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10 cards from this deck
A tangent touches the circle at exactly one point.
A normal is at right angles to a tangent.
Distance from centre to any point on the circumference.
The radius is rrr, and center is at (h,k)(h, k)(h,k).
The radius is perpendicular to the tangent at contact.
x1x+y1y=r2x_1x + y_1y = r^2x1x+y1y=r2.
Tangents from an external point are equal in length.
Set the discriminant of the resulting quadratic to zero.
kkk must be 3 or 11 for tangents to exist.
Its equation is x2+y2=r2x^2 + y^2 = r^2x2+y2=r2.
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