## KA SB 10th Grade Maths

Karnataka State Board

Animated Video KASB Syllabus 10th Grade Maths

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Language: English

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### STATE BOARD - X MATHS

Chap 1: ARITHMETIC PROGRESSION: Introduction, Arithmetic Progression, Egs, nth Term of an AP, Egs, Sum of First n Terms of an AP, Egs.

Chap 2: TRIANGLES: Introduction, Similar Figures, Egs, Similarity of Triangles, Basic Proportionality Theorem, Thales Theorem, Egs, Converse of Basic Proportionality Theorem, Egs, Criteria Similarity of Triangles, AAA Criterion, Egs, SSS Criterion, Egs, SAS Criterion Egs, Areas of Similar Triangles, Egs, Pythagoras Theorem, Egs, Converse of Pythagoras Theorem, Egs.

Chap 3: PAIR OF LINEAR EQUATION IN TWO VARIABLES: Introduction, Linear Equation in Two Variables, Pair of Lines Intersecting, Coincident or Parallel,Eg: 1 to 3, Solution of Pair of Linear Equation in Two Variables by Graphical Method,Eg: 4 to 7 Substitution Method,Eg: 8 to 10, Elimination Method, Elimination Method Eg: 11 to 13, Cross Multiplication Method, Eg: 14, Cross Multiplication Method, Eg: 15 to 18. Equations Reducible to a Pair of Linear Equations, Equations Reducible Linear Equations Eg: 19.

Chap 4: CIRCLES: Introduction, Tangent to a Circle, Theorem: 10.1, Egs, Number of Tangents From a Point on a Circle, Theorem: 10.2, Egs.

Chap 5: AREA RELATED TO CIRCLES: Introduction, Area Related to Circle, Formulas, Area Related to Circle Egs, Perimeter and Area of a Circle, Egs, Area of Sector Circle, Area of Sector of Circle Egs, Area of Segment of Circle, Egs, Areas of Combinations of Plane Figures, Egs.

Chap 6: CONSTRUCTION: Introduction, Division of a Line Segment, Construction of Tangents to a Circle, Overall Egs.

Chap 7: COORDINATE GEOMETRY: Introduction, Distance Formula, Egs, Section Formula, Egs, Area of Triangle, Egs.

Chap 8: REAL NUMBERS: Introduction On Real Numbers, Euclid's Division Lemma And Algorithm, Theorem:1.1, Finding HCF Using EDL, Euclid's-Division-Lemma Eg:2, 3, Intro on Prime Factorisation, Fundamental Theorem Of Arithmetic, Theorem:1.2, Eg:6, 7, Irrational Numbers, Eg;9, Intro onTerminating and Non-Terminating Decimals, Rational Numbers and Their Decimals, Terminating and Non-Terminating Recurring, RND Theorem:1.5, 1.6, 1.7.

CHAP 9: POLYNOMIALS: Introduction on Polynomials, Degree of Polynomial, Types of Polynomials, Linear and Quadratic Polynomial, Zero of a Linear Polynomial on Chart, Geometrical Zeros of Quadratic Polynomial, Relationship Between Zeros and Coefficient of Polynomial, Quadratic Equations and its zeros, Division Algorithm For Polynomial, Div Alg Poly Eg : 6,Div Alg Poly Eg : 7, Div Alg Poly Eg : 8, Div Alg Poly Eg : 9.

Chap 10: QUADRATIC EQUATIONS: Introduction, Quadratic Equations, Eg: 1,QE Eg: 2, Solving Quadratic Equation by Factorisation,Solving Quadratic Equation by Factorisation Eg: 3, 4,Solving Quadratic Equation by Factorisation Eg: 5, 6,Solving Quadratic Equation by Completing Square, Solving Quadratic Equation by Completing Square Eg, Quadratic Formula, Eg: 10, 11, Quadratic Formula, Eg: 12, 13, Quadratic Formula, Eg: 14, 15, Nature of Roots, Eg: 16, 17, Nature of Roots, Eg: 18.

Chap 11: INTRODUCTION TO TRIGONOMETRY: Introduction, Trigonometric Ratios, Egs, Trigonometric Ratios of Some Specific Angles, Egs, Trigonometric Ratios of Complementary Angles, Egs, Trigonometric Identities, Egs.

Chap 12: SOME APPLICATIONS OF TRIGONOMETRY: Introduction, Heights and Distances, Egs.

CHAP 13: STATISTICS: Introduction, Mean of Grouped Data, Formulas, Assumed Mean Method, EgsMode of Grouped Data, Egs, Median of Grouped Data, Egs, Graphical Representation of Cumulative Frequency Distribution, Egs.

Chap 14: PROBABILITY: Introduction, Probability, Random Experiments, Theoretical Approach, Egs.

Chap 15: SURFACE AREAS AND VOLUMES :  Introduction, Volumes and Surface Area, Surface Area of a Combination of Solids,Egs, Volume of Combination of Solids, Egs, Conversion of Solid FromOne Shape to Another, Egs, Frustum of a Cone, Egs.

NOTE: Few more Exercises and Examples from the textbook will be uploaded soon.

JARGONS: Egs=Examples   Ex=Exercise

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