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Class 10
1. Real Numbers
1.1. Euclid's Division Lemma
1.2. The Fundamental Theorem of Arithmetic
1.3. Revisiting Irrational Numbers
2. Polynomials
2.1. Zeros of a Quadratic Polynomial and Relation Between Its Zeroes and Coefficients
2.2. Zeros of a Cubic Polynomial and Relation Between Its Zeroes and Coefficients
2.3. Division Algorithm for Polynomials
3. Pair of Linear Equations in Two Variables
3.1. Forming Linear Equations Under the Given Conditions
3.2. Solutions of a Linear Equation
3.3. Solving a System of Simultaneous Linear Equations
3.4. Conditions for Solvability of a System of Linear Equations
3.5. Word Problems on Linear Equations in two variables
4. Quadratic Equations
4.1. Identify Quadratic Equations
4.2. Verify Solutions of a Quadratic Equation
4.3. Solve Quadratic Equations by Factorization
4.4. Solve Quadratic Equations by Completing the Square
4.5. Solve Quadratic Equations by Using Quadratic Formula
4.6. Nature of Roots of a Quadratic Equation
4.7. Word Problems on Quadratic Equations
5. Arithmetic Progressions
5.1. Tell if a Progression is an Arithmetic Progression (AP)
5.2. Find the First Term, Common Difference or the Next Term in an Arithmetic Progression (AP)
5.3. Find the Unknown Variable(s) in an Arithmetic Progression (AP)
5.4. Find the Numbers in AP Under Specified Conditions
5.5. General Term (nth Term) of an Arithmetic Progression (AP)
5.6. General Term (nth Term) from the End of an Arithmetic Progression (AP)
5.7. Arithmetic Mean
5.8. Sum of n Terms of an Arithmetic Progression (AP)
5.9. Word Problems on Arithmetic Progressions (AP)
6. Triangles
6.1. Basic Proportionality Theorem (Thales's Theorem) and its Applications
6.2. Angle-Bisector Theorem and its Applications
6.3. Similar Triangles
6.4. Pythagoras Theorem, Related Results and Problems
7. Coordinate Geometry
7.1. Distance Between Two Points
7.2. Section Formula and Midpoint Formula
7.3. Centroid of a Triangle
7.4. Area of a Triangle
7.5. Area of a Parallelogram
8. Introduction to Trigonometry
8.1. Trigonometric Ratios
8.2. Trigonometric Ratios of Angles 0, 30, 45, 60, and 90 degrees
8.3. Trigonometric Ratios of Complementary Angles
8.4. Trigonometric Identities
9. Some Applications of Trigonometry
9.1. Heights and Distances
10. Circles
10.1. Theorems and Results Related to Tangents of Circles
11. Constructions
11.1. Division of a Line Segment
11.2. Construction of Triangles
11.3. Construction of Tangents to a Circle
12. Areas Related to Circle
12.1. Area and Circumference of a Circle
12.2. Area and Circumference of a Semi-Circle
12.3. Area and Circumference of a Circular Ring
12.4. Area of a Sector, Segment and Length of the Arc
12.5. Word Problems on Area Related to Circle
13. Surface Areas and Volumes
13.1. Volume and Surface Area of Solids
14. Statistics
14.1. Mean of Grouped Data
14.2. Median for Grouped Data
14.3. Mode of Grouped Data
14.4. Miscellaneous Questions on Mean, Mode and Median of Grouped Data
15. Probability
15.1. Card Problems
15.2. Dice Problems
15.3. Coin Problems
15.4. Other Problems

Class 10 NCERT (CBSE and ICSE) Class 10

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