CBSE Grade 10  MATHS
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Real Numbers
Euclid's Division LemmaEuclid's Division AlgorithmFundamental Theorem of Arithmetic  Prime FactorizationcHCF, LCMProofs of IrrationalityDecimal Representation of Rational Numbers In terms of Terminating and NonTerminating Recurring Decimals 
Polynomials
Linear PolynomialsQuadratic PolynomialsZeros of a Polynomial Geometric MeaningRelationship between Zeros and Coefficients of Quadratic PolynomialsDivision Algorithm for Polynomials with Real Coefficients 
Pair of Linear Equations in Two Variables
Pair of Linear Equations in Two VariablesGraphical Method of Solution of a Pair of Linear Equations  Consistent, InconsistentAlgebraic Methods of Solving a Pair of Linear Equations in Two Variables  By Substitution, By Elimination and By Cross Multiplication MethodEquations Reducible to a Pair of Linear Equations in Two Variables 
Quadratic Equations
Standard Form of a Quadratic EquationSolutions of Quadratic Equations having Real Roots By Factorization, By Completing Square, By using Quadratic FormulaNature of RootsRelationship between Discriminant and Nature of Roots 
Arithmetic Progressions
Introduction to Arithmetic ProgressionDerivation of the nth term of an Arithmetic ProgressionSum of the First n terms of A.P 
Triangles
Similar FiguresSimilarity of TrianglesTheorem  A line drawn parallel to one side of a triangle intersects the other two sides in distinct pointsTheoremA line divides two sides of a triangle in the same ratio is parallel to the third sideCriteria for Similarity of Triangles SAS Similarity, AA Similarity, AAA Similarity, SSS SimilarityAreas of Similar TrianglesPythagoras Theorem 
Coordinate Geometry
Concepts of Coordinate GeometryDistance FormulaSection Formula (Internal Division)Area of a Triangle 
Introduction to Trigonometry
Trigonometric Ratios of an Acute Angle of a RightAngled Triangle Sin, Cos, TanValues of the Trigonometric Ratios  0, 30, 45, 60, 90 degreeRelationships between the RatiosTrigonometric Identities and ApplicationsTrigonometric Ratios of Complementary Angles 
Some Applications of Trigonometry
Heights and DistancesPropertiesHorizontal Line, The Line of Sight, Angles of Elevation and Angle of Depression 
Circles
Tangent to a Circle at a PointTheoremThe tangent at any point of a circle is perpendicular to the radius through the point of contactTheoremThe lengths of tangents drawn from an external point to circle are equal 
Constructions
Division of a Line Segment in a given Ratio (Internally)Tangent to a Circle from a Point Outside itConstruction Triangle similar to a given Triangle as per given Scale Factor 
Areas Related to Circles
Area of CirclePerimeter of CircleArea of Sectors and Segments of a CircleArea of Sector of Angle $ \theta $, Length of an Arc of Sector $\theta$Areas of Combinations of Plane Figures 
Surface Areas and Volumes
Surface Areas and Volumes of Combinations of Solids Cubes, Cuboids, Spheres, Hemispheres and Right Circular Cylinders, ConesFrustum of a ConeProblems  Converting One Type of Metallic Solid into Another 
Statistics
Grouped DataMean, Median and ModeCumulative Frequency Graph 
Probability
Classical Definition of ProbabilityEvent of an ExperimentSure Event, Impossible Event 
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