Topics
Commercial Mathematics
Goods and Services Tax (G.S.T.)
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Banking
Algebra
Geometry
Shares and Dividends
Mensuration
Linear Inequations
Trigonometry
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Statistics
Ratio and Proportion
Probability
Factorisation of Polynomials
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Symmetry
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Circles
Tangent and Secant Properties
Constructions
Area and Volume of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
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).
-
The line cuts through the circle at two points (Secant).
-
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
