Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
Estimated time: 5 minutes
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
CISCE: Class 6
Introduction
In geometry, when a line meets a circle, different things can happen depending on the position of the line.
-
The line misses the circle entirely (Non-intersecting Line).
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The line cuts through the circle at two points (Secant).
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The line touches the circle at exactly one point (Tangent).
CBSE: Class 10
CISCE: Class 6, 10
CISCE: Class 6, 10
Definition: Secant
A secant is a straight line that passes through the circle and intersects it at two distinct points.
line AB cuts the circle at points M and N ⇒ AB is a secant.
CBSE: Class 10
CISCE: Class 6, 10
CISCE: Class 6, 10
Definition: Tangent
A tangent is a straight line that touches a circle at exactly one point only, without cutting through it. This single point where the tangent touches the circle is called the point of contact or point of tangency.
Line CD touches the circle at point P only ⇒ CD is a tangent
Point P is the point of contact.
CISCE: Class 6
Key Points Summary
| Feature | Tangent | Secant |
|---|---|---|
| Number of Intersection Points | 1 Point | 2 Points |
| Touches or Cuts? | Touches (grazes) | Cuts through |
| Chord Relationship | No chord | Contains a chord |
| Example in Daily Life | String touching a wheel | String passing through a loop |
Test Yourself
Video Tutorials
Shaalaa.com | Circles part 2 (Theorems Tangent Secant)
to track your progress
