10th Class Maths Book - All Chapters Formulas

Mathematics is an important subject that requires a good understanding of formulas to solve problems effectively. Here are the formulas for all the chapters in the 10th Class Maths Book:

Chapter 1: Real Numbers
- Euclid’s division lemma
- The Fundamental Theorem of Arithmetic
- Rational and irrational numbers
- Decimal representation of rational numbers

Chapter 2: Polynomials
- Division Algorithm
- Factor Theorem
- Remainder Theorem
- Algebraic identities
- Cubic polynomials
- Factorization of quadratic polynomials

Chapter 3: Pair of Linear Equations in Two Variables
- Linear equations in two variables
- Graph of linear equations in two variables
- Equations of lines parallel to x-axis and y-axis
- Consistent and inconsistent equations
- Substitution method
- Elimination method

Chapter 4: Quadratic Equations
- Quadratic equations and their solutions
- Nature of roots
- Quadratic formula
- Discriminant

Chapter 5: Arithmetic Progressions
- Arithmetic progression
- nth term of an AP
- Sum of first n terms of an AP

Chapter 6: Triangles
- Similar triangles
- Pythagoras Theorem
- Basic proportionality theorem
- Mid-point theorem
- Area of a triangle

Chapter 7: Coordinate Geometry
- Distance formula
- Section formula
- Area of a triangle using coordinates
- Slope of a line
- Slope-intercept form of a line

Chapter 8: Introduction to Trigonometry
- Trigonometric ratios
- Trigonometric ratios of complementary angles
- Trigonometric identities

Chapter 9: Some Applications of Trigonometry
- Heights and distances
- Angle of elevation
- Angle of depression

Chapter 10: Circles
- Tangent to a circle
- Number of tangents from a point on a circle
- Properties of tangents to a circle
- Chord of a circle
- Arc of a circle

Chapter 11: Constructions
- Basic constructions
- Construction of angles
- Construction of triangles
- Construction of tangents to a circle

Chapter 12: Areas Related to Circles
- Area of a circle
- Circumference of a circle
- Area of sector and segment of a circle
- Areas of combinations of plane figures

These formulas are important to memorize as they will help you in solving problems effectively. Practice these formulas regularly to improve your math skills.

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