Tangents and Secants to a Circle
Telangana Board · Class 10 · Mathematics
Summary of Tangents and Secants to a Circle for Telangana Board Class 10 Mathematics. Key concepts, important points, and chapter overview.
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Overview
A circle is a collection of all points on a plane at a constant distance from a fixed point. A line and a circle can have only three relative positions: they may have no common point, they may meet at two points and form a secant, or they may touch at exactly one point and form a tangent. A tangent
Key Concepts
A circle is the set
A circle is the set of all points in a plane at a constant distance from a fixed point called the centre.
A secant is a line
A secant is a line that intersects a circle at two distinct points. The part between the two points is a chord.
A tangent is a line
A tangent is a line that touches a circle at exactly one point. It is a special case of a secant in which the two points of intersection coincide.
The common point of a tangent
The common point of a tangent and a circle is called the point of contact.
The tangent at any point
The tangent at any point of a circle is perpendicular to the radius through the point of contact.
Learning Objectives
- Identify the three possible relative positions of a line and a circle.
- Distinguish between tangent, secant, and non-intersecting line.
- Understand the meaning of point of contact and normal to a circle.
- Use the fact that the tangent at a point is perpendicular to the radius through that point.
- Find the number of tangents possible from a point inside, on, or outside a circle.
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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