Tangents to a Parabola from a Point P Outside the Curve (Leaving Cert DCG): Flashcards
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Tangent to a parabola
Tangent to a parabola
Line touching curve at exactly one point
Point of contact (P.O.C)
Point of contact (P.O.C)
Where tangent touches the parabola
No. of tangents from external point P
No. of tangents from external point P
Exactly two
Method 1 key reference point
Method 1 key reference point
Focus (F) of the parabola
Method 1: Direction of lines from points r and q
Method 1: Direction of lines from points r and q
Parallel to the axis
Method 2: Circle centre
Method 2: Circle centre
Focus (F)
Method 2: Circle diameter
Method 2: Circle diameter
FV (focus to vertex distance)
Method 2: Vertex tangent orientation
Method 2: Vertex tangent orientation
Perpendicular to the axis
Focus (F) of a parabola
Focus (F) of a parabola
Special point inside parabola defining its shape
Vertex (V) of a parabola
Vertex (V) of a parabola
Closest point on parabola to focus