**: Tangents in Geometry - Class 10 ICSE Maths**
In this video, we will explore the concept of **Tangents in Geometry** as per the **Class 10 ICSE Maths** syllabus. The chapter is an essential topic in understanding the relationship between a tangent and a circle. The video will be divided into clear, easy-to-understand sections, each focusing on specific sub-topics:
1. **Introduction to Tangents**:
- What is a tangent?
- Explanation of the basic properties of tangents and their significance in geometry.
- Definition of a tangent as a straight line that touches a circle at only one point.
2. **Important Theorems**:
- **The tangent at any point of a circle is perpendicular to the radius at the point of contact**.
- Detailed explanation with diagrams showing the tangent and radius of a circle.
- **Two tangents drawn from an external point to a circle are equal in length**.
- Practical examples to demonstrate how this theorem is applied.
3. **Equations of Tangents**:
- Deriving the equation of a tangent to a circle with center at the origin.
- General form of the tangent equation and how to apply it in various problems.
4. **Length of Tangent**:
- Formula for finding the length of the tangent from a point outside the circle.
- Worked-out examples to calculate the length of tangents.
5. **Applications of Tangents**:
- Use of tangents in solving problems involving circles and external points.
- Geometrical constructions involving tangents.
6. **Practice Problems**:
- Solving various ICSE-style questions to reinforce the understanding of tangents in geometry.
- Step-by-step solutions and explanations for each problem.
The video will feature visual aids like **diagrams, geometric constructions, and worked examples** to ensure that students grasp each concept easily. The explanations are structured to build upon one another, ensuring that viewers are able to understand the theoretical concepts first and then apply them in problem-solving.
By the end of the video, viewers will be comfortable with the properties, theorems, and applications of tangents in geometry, providing them with a solid foundation for tackling related questions in their ICSE exams.