Tangents to an Ellipse

In this activity, you will explore the properties of tangents to an ellipse using an interactive construction:

Ellipse and Foci: Two points, F1 and F2, define the foci of the ellipse, and a slider sets the semi-major axis a.
Draggable Point (P): A point P lies on the ellipse and can be dragged along its curve.
Tangent Line at P: The tangent line at P updates dynamically as P moves.
Drag Test with Point Q:
- You can drag a free point Q.
- The activity checks whether Q lies on the tangent at P.
Explore: Drag P to see the tangent move and experiment with placing Q to understand how points relate to the tangent line.

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