Limitation and Applications of Tangent Secant Theorem

The tangent secant theorem has both applications and limitations. Below we will discuss the limitations and applications of the tangent secant theorem in detail.

Limitation of Tangent Secant Theorem

Along with the applications the tangent secant theorem has some limitations. Some of the limitations of the tangent secant theorem are listed below:

  • Tangent Secant Theorem is not applicable to three-dimensional shapes.
  • The tangent secant theorem does not provide any information about whether the secant and tangent are drawn from the same points.

Applications of Tangent Secant Theorem

The tangent secant theorem has multiple applications in real life. Some of these applications are listed below:

  • The construction of buildings and bridges is based on the tangent secant theorem.
  • The construction of statutes and pyramids are also based on the tangent secant theorem.

Some More Theorem in Geometry

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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What is Tangent and Secant?

Tangent and Secant are line segments or lines related to a curve, which help us understand its behaviour and characteristics at specific points and between multiple points along the curve. In simple words, any line that touches the curve at only one point is called a tangent, while a line that intersects the curve at two points is called a secant....

What is Tangent Secant Theorem?

The tangent secant theorem as the name suggests states the geometric relationship between the lengths of tangent and secant of any circle. Tangent-Secant Theorem is also known as the Secant-Tangent Theorem. We will discuss the statement of tangent secant theorem below....

Proof of Tangent Secant Theorem

Consider the figure below, where O is the center of the circle ACD is secant of the circle and AB be the tangent on the circle. A line OP is drawn perpendicular to CD. Join OC, OA and OB....

Limitation and Applications of Tangent Secant Theorem

The tangent secant theorem has both applications and limitations. Below we will discuss the limitations and applications of the tangent secant theorem in detail....

Solved Problems on Tangent Secant Theorem

Example 1: Find the value of x....

Practice Problems on Tangent Secant Theorem

Problem 1: In a circle with a radius of 5 cm, point P is located 13 cm away from the center O. A tangent is drawn from point P to the circle, and it touches the circle at point T. Calculate the length of PT....

Tangent Secant Theorem – FAQs

What is Tangent?...

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