Topics
Number Systems
Number Systems
Algebra
Introduction to Polynomials
Algebraic Expressions
Algebraic Identities
Sequences and Progressions
Coordinate Geometry
Geometry
Exploring Algebraic Identities
Area
Constructions
- Introduction of Constructions
- Geometric Constructions
- Some Constructions of Triangles
Mensuration
Linear Equations in Two Variables
Statistics and Probability
Coordinate Geometry
Probability
Introduction to Euclid’s Geometry: Axioms and Postulates
Lines and Angles
- Introduction to Lines and Angles
- Basic Terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Parallel Lines
- Concept of Pairs of Angles
- Concept of Transversal Lines
- Basic Properties of a Triangle
Triangles: Congruence Theorems
4-gons (Quadrilaterals)
- Properties of Quadrilateral
- Another Condition for a Quadrilateral to Be a Parallelogram
- Theorem of Midpoints of Two Sides of a Triangle
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram.
- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.
- Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram.
- Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection)
- Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram
Circles
Area and Perimeter
- Area of a Triangle by Heron's Formula
- Application of Heron’s Formula in Finding Areas of Quadrilaterals
- Geometric Interpretation of the Area of a Triangle
Surface Area and Volume
Statistics
Introduction to Probability
Definition: Zeroes of a Polynomial
A real number k is a zero of p(x) if p(k) = 0.
CBSE: Class 10
Formula: Zero of a Linear Polynomial
For
p(x) = ax + b
Zero:
Shaalaa.com | Zeroes of a Polynomial
to track your progress
