Topics
Relations and Functions
- Ordered Pair
- Concept of Relations
- concept of Function
- Representation of Function
- Types of Functions
- Special Cases of Functions
- Composition of Functions
- Identifying the Graphs of Linear, Quadratic, Cubic and Reciprocal Functions
Numbers and Sequences
- Introduction of Numbers and Sequences
- Euclid’s Division Algorithm
- Fundamental Theorem of Arithmetic
- Modular Arithmetic
- Sequence in Number
- Arithmetic Progression (A.P.)
- Sequence, Series, and Progression
- Geometric Progression (G. P.)
- Sum to' n' Terms of a Geometric Progression
- Special Series
Algebra
- Simultaneous Linear Equations in Three Variables
- GCD and LCM of Polynomials
- Rational Expressions
- Square Root of Polynomials
- Quadratic Equations
- Graph of Variations
- Quadratic Graphs
- Concept of Matrices
Geometry
- Fundamentals of Geometrical Concepts
- Similarity of Triangles (Corresponding Sides & Angles)
- Thales Theorem and Angle Bisector Theorem
- Right-angled Triangles and Pythagoras Property
- Converse of Pythagoras Theorem
- Secant and Tangent
- Concurrency Theorems
Coordinate Geometry
Trigonometry
Mensuration
- Mensuration of Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Frustum of a Cone
- Mensuration of Cones
- Mensuration of a Sphere
- Volume of Frustum of a Cone
- Surface Area of a Combination of Solids
- Conversion of Solids from One Shape to Another with No Change in Volume
Statistics and Probability
- Measures of Dispersion
- Coefficient of Variation
- Concept of Probability
- Elementary Types of Events and Properties of Probability
- Addition Theorem of Probability
CBSE: Class 10
Euclid’s Division Algorithm
Statement:
Euclid’s Division Algorithm states that for any two positive integers a and b, there exist whole numbers q and r such that when a is divided by b, the remainder r is smaller than b.
Equation:
a = bq + r,
Shaalaa.com | Real Numbers part 2 (Euclid division lemma law)
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