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1.Number System
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Numbers and its Classification, Rational Number and its Representation on the Number Line 50 minLecture1.1
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Decimal Representation of Rational Number and Conversion of Decimal Number into Rational Number 01 hourLecture1.2
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Representation of Decimal Number on Number Line, Finding Irrational Numbers Between Given Two Numbers 46 minLecture1.3
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Representing Irrational Number on the Number Line 41 minLecture1.4
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Rationalisation 54 minLecture1.5
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Introduction to Exponents, Laws of Exponents, BODMAS Rule 41 minLecture1.6
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Integral Exponents of Real Numbers 57 minLecture1.7
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Integral Exponents of Real Numbers and Solving Equation for x 01 hourLecture1.8
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Rational Exponents of Real Numbers 52 minLecture1.9
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Examples Based on Rational Exponents of Real Numbers 30 minLecture1.10
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Chapter Notes – Number SystemLecture1.11
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NCERT Solutions – Number System Exercise 1.1 – 1.6Lecture1.12
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R D Sharma Solutions Number SystemLecture1.13
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Revision Notes – Number SystemLecture1.14
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2.Polynomials
10-
Introduction to Polynomials and Some Basics Questions 58 minLecture2.1
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Value of Polynomial, Zeroes of Polynomial and Relationship between Zeroes and Coefficient of Linear Equation 01 hourLecture2.2
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Division of Polynomials and Division Algorithm and Remainder Theorem 51 minLecture2.3
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Factorising by Spliting Method 01 hourLecture2.4
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Factorisation By Different Methods and Factor Theorem 27 minLecture2.5
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Factorisation of Polynomial by Using Algebric Identities 01 hourLecture2.6
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Chapter Notes – PolynomialsLecture2.7
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NCERT Solutions – Polynomials Exercise 2.1 – 2.5Lecture2.8
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R S Aggarwal Solutions PolynomialsLecture2.9
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Revision Notes PolynomialsLecture2.10
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3.Coordinate Geometry
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Representation of Position on Number Line, Finding the location by Using the Axis 01 hourLecture3.1
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Quadrant, Coordinates of Point on Axis, Distance from Axis 01 hourLecture3.2
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Finding the Area of Triangle and Rectangle and Mirror Image of Point On Axis 57 minLecture3.3
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Chapter Notes – Coordinate GeometryLecture3.4
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NCERT Solutions – Coordinate Geometry Exercise 3.1 – 3.3Lecture3.5
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R D Sharma Solutions Coordinate GeometryLecture3.6
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R S Aggarwal Solutions Coordinate GeometryLecture3.7
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Revision Notes Coordinate GeometryLecture3.8
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4.Linear Equations
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Introduction of Linear Equation in Two Variables and Graphical Representation 01 hourLecture4.1
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Example to find the value of Constant and Graph of Linear Equation in Two Variables 57 minLecture4.2
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Equations of lines Parallel to the x-axis and y-axis 46 minLecture4.3
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Chapter Notes – Linear EquationsLecture4.4
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NCERT Solutions – Linear Equations Exercise 4.1 – 4.4Lecture4.5
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R D Sharma Solutions Linear EquationsLecture4.6
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R S Aggarwal Solutions Linear EquationsLecture4.7
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Revision Notes Linear EquationsLecture4.8
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5.Euclid's Geometry
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Euclid’s Definitions and Euclid’s Axioms 32 minLecture5.1
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Eulcid’s Postulates and Playfair’s Axiom 37 minLecture5.2
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Chapter Notes – Euclid’s GeometryLecture5.3
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NCERT Solutions – Euclid’s Geometry Exercise 5.1 5.2Lecture5.4
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R D Sharma Solutions Euclid’s GeometryLecture5.5
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R S Aggarwal Solutions Euclid’s GeometryLecture5.6
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Revision Notes Euclid’s GeometryLecture5.7
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6.Lines and Angles
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Introduction to Lines and Angles, Types of Angle and Axioms 01 hourLecture6.1
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Vertically opposite Angles and Angle bisector 46 minLecture6.2
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Angle made by a transversal with two Lines and Parallel Lines 01 hourLecture6.3
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Lines Parallel to same Line; Exterior angle of a triangle; Angle Sum property of a Triangle 52 minLecture6.4
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Angle Sum Property of Triangle Including Interior and Exterior Angles 01 hourLecture6.5
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Chapter Notes – Lines and AnglesLecture6.6
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NCERT Solutions – Lines and Angles Exercise 6.1 – 6.3Lecture6.7
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R D Sharma Solutions Lines and AnglesLecture6.8
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R S Aggarwal Solutions Lines and AnglesLecture6.9
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Revision Notes Lines and AnglesLecture6.10
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7.Triangles
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Introduction, Types of Triangle, Altitude & Median of Triangle, Congruences, SAS criterion of Congruence 42 minLecture7.1
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Questions Based on SAS Criterion 01 hourLecture7.2
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ASA Criterion of Congruence and Its based Questions 42 minLecture7.3
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Questions Based on AAS and SSS Criterion 29 minLecture7.4
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RHS Criterion of Congruence and Its based Questions, Questions Based on Multiple Criterion 01 hourLecture7.5
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Inequalities of Triangle 42 minLecture7.6
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Inequalities of Triangle cont., Distance Between a line and The Point, Miscellaneous Questions 48 minLecture7.7
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Chapter Notes – TrianglesLecture7.8
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NCERT Solutions – Triangles Exercise 7.1 – 7.5Lecture7.9
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R D Sharma Solutions TrianglesLecture7.10
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Revision Notes TrianglesLecture7.11
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8.Quadrilaterals
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Congruence of Triangles- SAS Congruence Criteria, ASA Congruence Criteria, SSS Congruence Criteria, RHS Congruence Criteria; Types of Quadrilateral- Parallelogram, Rectangle, Rhombus, Square, Trapezium, Kite 01 hourLecture8.1
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Theorem 1; Properties of parallelogram- Theorem 2, Theorem 3; 01 hourLecture8.2
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Theorem 4; Theorem 5; 24 minLecture8.3
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Conditions for a Quadrilateral to be a parallelogram- Theorem 6 01 hourLecture8.4
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Theorem 8 01 hourLecture8.5
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Theorem 9 51 minLecture8.6
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Theorem 9(Mid-point Theorem); 01 hourLecture8.7
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Theorem 10 27 minLecture8.8
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Chapter Notes – QuadrilateralsLecture8.9
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NCERT Solutions – Quadrilaterals Exercise 8.1 8.2Lecture8.10
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R D Sharma Solutions QuadrilateralsLecture8.11
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R S Aggarwal Solutions QuadrilateralsLecture8.12
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Revision Notes QuadrilateralsLecture8.13
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9.Area of Parallelogram
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Parallelograms on the Same Base and between the Same Parallels; A Diagonal of a parallelogram divides it into two triangles of Equal Area 57 minLecture9.1
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Questions based on parallelogram and Triangle are on same base & parallel lines and Area of Triangle 01 hourLecture9.2
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Triangles on the same Base and between the same Parallels 56 minLecture9.3
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Miscellaneous Questions Based on Triangles on the same Base and between the same Parallels 54 minLecture9.4
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Sums Based on Median of a Triangle 52 minLecture9.5
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Two Triangles on the same Base and equal Area lie b/w the same parallel 01 hourLecture9.6
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Summary of All Concepts and Miscellaneous Questions 56 minLecture9.7
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Chapter Notes – Area of ParallelogramLecture9.8
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NCERT Solutions – Area of Parallelogram Exercise 9.1 – 9.4Lecture9.9
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R D Sharma Solutions Area of ParallelogramLecture9.10
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Revision Notes Area of ParallelogramLecture9.11
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10.Constructions
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Construction of Perpendicular Bisector of a Line Segment, Different Angles and Angle bisector 42 minLecture10.1
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Construction of Different types of Triangle 43 minLecture10.2
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Chapter Notes – ConstructionsLecture10.3
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NCERT Solutions – Constructions ExerciseLecture10.4
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R D Sharma Solutions ConstructionsLecture10.5
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R S Aggarwal Solutions ConstructionsLecture10.6
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Revision Notes ConstructionsLecture10.7
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11.Circles
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Introduction, Important Terms related to circle, Theorem-1, 2, 3 and 4 01 hourLecture11.1
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Problems Solving 48 minLecture11.2
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Problems Based on Parallel Chords, Common Chord of Circles 01 hourLecture11.3
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Problems Based on Concentric Circles, Triangle in Circle 41 minLecture11.4
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Equal Chords and Their Distance, Theorem-5, 6, 7, 8 01 hourLecture11.5
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Circle Through Points, Theorem-9, Arc of a Circle, Theorem-10 01 hourLecture11.6
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Chapter Notes – CirclesLecture11.7
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NCERT Solutions – Circles ExerciseLecture11.8
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R D Sharma Solutions CirclesLecture11.9
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R S Aggarwal Solutions CirclesLecture11.10
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Revision Notes CirclesLecture11.11
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12.Heron's Formula
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Introduction of Heron’s Formula; Area of Different Triangles 01 hourLecture12.1
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Area of Triangles Using Heron’s Formula (Type-1 level-1 and 2) 53 minLecture12.2
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Area of Quadrilaterals Using Heron’s Formula (Type-2 level-1) 32 minLecture12.3
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Area of Quadrilaterals Using Heron’s Formula (Type-2 level-2) 38 minLecture12.4
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Chapter Notes – Heron’s FormulaLecture12.5
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NCERT Solutions – Heron’s Formula Exercise 12.1 12.2Lecture12.6
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R D Sharma Solutions Heron’s FormulaLecture12.7
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Revision Notes Heron’s FormulaLecture12.8
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13.Surface Area and Volume
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Introduction, Surface Area of Cube, Cuboid, Cylinder, Hollow cylinder, Cone, Sphere 40 minLecture13.1
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Type-1: Surface Area and Volume of Cube and Cuboid 27 minLecture13.2
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Level-2, Question based on Cube and Cuboid, Level-1 Questions based on Cylinder 28 minLecture13.3
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Level-2 Questions based on Cylinder, Type-3 Surface Area and Volume of Right Circular Cone (Level-1) 25 minLecture13.4
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Level-2 Questions based on Right Circular Cone, Level-1& 2 Questions Based on Sphere & Hemisphere 27 minLecture13.5
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Type-5 Short Answer Types Questions, 12 minLecture13.6
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Chapter Notes – Surface Area and Volume of a Cuboid and CubeLecture13.7
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Chapter Notes – Surface Area and Volume of A Right Circular CylinderLecture13.8
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Chapter Notes – Surface Area ad Volume of A Right Circular ConeLecture13.9
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Chapter Notes – Surface Area ad Volume of A SphereLecture13.10
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NCERT Solutions – Surface Area and Volume Exercise 13.1 – 13.9Lecture13.11
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R D Sharma Solutions Surface Areas And Volumes of A cuboid and A cubeLecture13.12
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R D Sharma Solutions Surface Areas And Volumes of A Right Circular CylinderLecture13.13
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R D Sharma Solutions Surface Areas And Volumes of A Right Circular ConeLecture13.14
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R D Sharma Solutions Surface Areas And Volumes of A SphereLecture13.15
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Revision Notes Surface Areas And VolumesLecture13.16
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14.Statistics
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Data; Presentation of Data; Understanding Basic terms; 01 hourLecture14.1
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Questions; 52 minLecture14.2
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Bar Graph, Histogram, Frequency Polygon; 01 hourLecture14.3
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Histogram for Grouped Frequency Distribution (Class interval in Inclusive form), Frequency Polygon, Measures of Central Tendency, 01 hourLecture14.4
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Examples Based on Mean of Ungrouped Data 56 minLecture14.5
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Direct Method of Finding Mean of Ungrouped Data, Median of Cont. Freq. Distribution (Grouped Data) 01 hourLecture14.6
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Mean; Mean for an ungrouped freq. Dist. Table 25 minLecture14.7
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Chapter Notes – Statistics – Tabular Representation of Statistical DataLecture14.8
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Chapter Notes – Statistics – Graphical Representation of Statistical DataLecture14.9
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Chapter Notes – Statistics – Measures of Central TendencyLecture14.10
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NCERT Solutions – Statistics Exercise 14.1 – 14.4Lecture14.11
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R D Sharma Solutions Tabular Representation of Statistical DataLecture14.12
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R D Sharma Solutions Graphical Representation of Statistical DataLecture14.13
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R S Aggarwal Solutions StatisticsLecture14.14
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Revision Notes StatisticsLecture14.15
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15.Probability
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Activities; Understanding term Probability; Experiments; 44 minLecture15.1
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Event; Probability; Empirical Probability- Tossing a coin; 31 minLecture15.2
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Rolling a dice; Miscellaneous Example; 27 minLecture15.3
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Chapter Notes – ProbabilityLecture15.4
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NCERT Solutions – Probability Exercise 15.1Lecture15.5
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R D Sharma Solutions ProbabilityLecture15.6
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R S Aggarwal Solutions ProbabilityLecture15.7
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Revision Notes ProbabilityLecture15.8
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Chapter Notes – Surface Area and Volume of a Cuboid and Cube
(1) If a cuboid has length l, breadth b and height h,then
(i) Perimeter of the cuboid = 4 (L + b + h)
For Example: If l=5cm,b=2cm,h=3cm ,then
Perimeter of the cuboid =4(5+2+3)=40cm
(ii) Surface area of the cuboid =2(lb+bh+lh)
For Example: If l=5cm,b=2cm,h=3cm ,then
Surface area of the cuboid =2(5×2+2×3+5×3)=62cm2
(iii) Lateral surface area of the cuboid =2(l+b)×h
For Example: If l=5cm,b=2cm,h=3cm ,then
Lateral surface area of the cuboid =2(5+2)×3=42cm2
(iv) Length of a diagonal =l2+b2+h2−−−−−−−−−−√
For Example: If l=5cm,b=2cm,h=3cm ,then
Length of a diagonal =52+22+32−−−−−−−−−−√=38−−√cm
(v) Volume of the cuboid =l×b×h
For Example: If l=5cm,b=2cm,h=3cm ,then
Volume of the cuboid =5×2×3=30cm3
(2)If the length of each edge of a cube is l, then
(i) Perimeter of the cuboid =12l=12(Edge)
For Example: If l=5cm,b=2cm,h=3cm ,then
Perimeter of the cuboid =12×5=60cm
(ii) Surface area of the cuboid =6l2=6(Edge)2
For Example: If l=5cm,b=2cm,h=3cm ,then
Surface area of the cuboid =(6×5)2=900cm2
(iii) Lateral surface area of the cuboid =4l2=4(Edge)2
For Example: If l=5cm,b=2cm,h=3cm ,then
Lateral surface area of the cuboid =(4×5)2=400cm2
(iv) Volume of the cuboid =l3=(Edge)3
For Example: If l=5cm,b=2cm,h=3cm ,then
Volume of the cuboid =53=125cm3