Tangent Secant Theorem
What is Tangent?
The line that intersects the circle at only one point is called as the tangent of the circle.
Define Secant.
Secant is the line which intersect across the circle at exactly two points.
What is the Difference between Tangent and Secant?
The difference between tangent and secant is that tangent is the line which cuts the circle at only one point whereas the secant is the line which cuts across the circle at two distinct points.
What is the Statement of the Tangent Secant Theorem?
The tangent secant theorem states that when a tangent and secant are drawn from same external point then, the square of the length of the tangent is equal to the product of the total length of the secant and the length of exterior part of secant.
How do we Proof Tangent Secant Theorem?
To prove the tangent secant theorem, we use the properties of the right-angled triangle and pythagoras theorem.
What is the Formula for the Tangent Secant Theorem?
The formula for tangent secant theorem is AC × AD = AB2.
Where,
- A is the external point to circle,
- B is the point of tangency, and
- C and D are the point of intersection of secant.
Tangent Secant Theorem
Tangent Secant Theorem is the fundamental theorem in geometry. Tangent and secant are the important parts of the circle. The tangent secant theorem is used in various fields of mathematics, construction, and many more. Tangents and secants are the lines that intersect the circle at some points.
In this article, we will learn about the Tangent Secant theorem in detail along with its statement and proof. It also covers the applications and limitations of the tangent secant theorem and some solved examples of the Tangent Secant Theorem. Let’s start our learning on the topic Tangent Secant theorem.
Table of Content
- What is Tangent and Secant?
- What is Tangent Secant Theorem?
- Proof of Tangent Secant Theorem
- Limitation and Applications of Tangent Secant Theorem
- Solved Problems
- FAQs
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