Two tangents drawn from an external point of the circle are equal theorem

Описание: 📘 Theorem: Tangents Drawn from an External Point to a Circle Are Equal

Description (YouTube Upload Ready):

In geometry, when we draw two tangents to a circle from the same external point, something very special happens.
Both tangents are equal in length.

Suppose you have a circle and a point P outside it. From point P, draw two tangents touching the circle at points A and B.
The theorem states that:

👉 PA = PB

This means the distance from point P to point A is exactly the same as the distance from point P to point B.

Why is it important?

It is used in proving many geometrical results.

It helps in solving numerical questions related to triangles, circles, and constructions.

It forms the basis of many board exam questions.


Key Points:

✔ Tangent touches the circle at only one point.
✔ Both tangents form equal angles with the line joining the center to the point of contact.
✔ This property holds for every external point.


---

If you want, I can also prepare:
🎥 Short script,
🎨 Diagram explanation, or
📢 Voice-over style narration for your YouTube video.