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1.Basic Mathematics
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Sets 55 minLecture1.1
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Basic Inequalities 43 minLecture1.2
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Wavy Curve Method 38 minLecture1.3
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Relations 36 minLecture1.4
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Introduction to Functions 32 minLecture1.5
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Domain of a Function 44 minLecture1.6
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Range of Functions 43 minLecture1.7
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Basic Functions-Constant Function, Identity Function, Modulus Function 52 minLecture1.8
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Basic Functions-Greatest Integer Function, Fractional Part Function 40 minLecture1.9
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Basic Functions- Signum Function, Exponential Function, Logarithmic Function 23 minLecture1.10
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Basic Mathematics – NCERT SolutionsLecture1.11
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2.Trigonometry
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Measurement of Angles 31 minLecture2.1
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Trigonometric Ratios of Allied Angles 33 minLecture2.2
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Sum and Difference Formulas 56 minLecture2.3
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Transforming Product into Sum and Difference of Angles 52 minLecture2.4
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C-D Formulas and Double Angle Formulas 40 minLecture2.5
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Triples Angle Formulas and Cosine Series 33 minLecture2.6
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Conditional Identities 45 minLecture2.7
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Trigonometric Equations 46 minLecture2.8
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Solution of Triangles 27 minLecture2.9
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Graphs of Trigonometric Functions 27 minLecture2.10
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3.Mathematical Induction
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Introduction to PMI 25 minLecture3.1
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NCERT Solution of EX- 4.1 15 minLecture3.2
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NCERT Solution of EX- 4.1 22 minLecture3.3
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NCERT Solution of EX- 4.1 13 minLecture3.4
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4.Quadratic Equations
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Introduction to Quadratic Equations, Sum and Product of Roots, Discriminant 39 minLecture4.1
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Formation of QE, QE as an Identity, Graphs of QE 58 minLecture4.2
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Condition for Common Root, Cubic Equation, Transformation of Equation 45 minLecture4.3
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Location of Roots 37 minLecture4.4
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5.Complex Number
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Iota and its Integral Powers, Equalities and Inequalities of a Complex Number 35 minLecture5.1
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Algebraic Operations, Conjugate of a Complex Number 46 minLecture5.2
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Modulus of a Complex Number 42 minLecture5.3
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Argument, Square Root, Logarithm 42 minLecture5.4
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De Moivre’s Theorem, Nth Roots and Cube roots of Unity 48 minLecture5.5
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6.Binomial Theorem
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Factorial 24 minLecture6.1
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Binomial Theorem 33 minLecture6.2
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Problems, Middle Term, Greatest Binomial Coefficient 27 minLecture6.3
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Numerically Greatest Term, Properties of Binomial Coefficients, Binomial Theorem for Rational Index 24 minLecture6.4
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7.Permutation and Combination
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Fundamental Principles of Counting 27 minLecture7.1
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Linear Permutation, Arrangement of like objects, Selection of Objects, Misc Problems 39 minLecture7.2
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Grouping Method, Gap Method 19 minLecture7.3
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Formation of groups, Beggar’s Method, Circular Permutation 48 minLecture7.4
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8.Sequences and Series
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Arithmetic Progression 29 minLecture8.1
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Sum of an A.P. 44 minLecture8.2
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Geometric Progression 31 minLecture8.3
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Infinite G.P. 24 minLecture8.4
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Harmonic Progression 20 minLecture8.5
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AM, GM, HM and Inequalities 51 minLecture8.6
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Arithmetico-Geometric Progression, Special Series 34 minLecture8.7
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9.Straight Lines
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Basic Concepts, Forms of Straight Lines 34 minLecture9.1
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Examples 23 minLecture9.2
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Forms of Straight Lines, Conversion of One Form to Another 39 minLecture9.3
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General Form, Position of Points, Length of Perpendicular, Distance between Parallel lines 41 minLecture9.4
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Angle between two lines, Family of Lines, Area of Parallelogram, Concurrent Lines 41 minLecture9.5
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Image in a line, Shifting of Origin, Angular Bisectors 33 minLecture9.6
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10.Circle
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Introduction and General Equation of Circle 35 minLecture10.1
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Diametric Form, Intercept made by circle, Position of a point, Parametric form 40 minLecture10.2
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Position of a line wrt Circle, Condition of Tangency 20 minLecture10.3
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Equation of Tangent at a point on the circle 27 minLecture10.4
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Equation of Tangent from External point, Geometry Related to circles, Chord 39 minLecture10.5
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Common Tangents, Equation of common chord, Power of a point and Radical Axis, Normal to a circle, Orthogonal Circles, Family of circles. 58 minLecture10.6
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11.Parabola
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Introduction to Conic section, Definition, Identifying Conic Section 29 minLecture11.1
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Introduction to Parabola, Standard Parabolas, Shifted Parabola 34 minLecture11.2
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Point and Parabola, Parametric Equations, Equation of Chord, Focal Chord and its length, Focal Distance 26 minLecture11.3
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Line and a Parabola, Equation of Tangent in various forms 31 minLecture11.4
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Point of intersection of tangents, Common tangents, Normal to a Parabola in Different Forms 31 minLecture11.5
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Conormal Points, Chord of Contact, Chord bisected at a point, Director Circle 13 minLecture11.6
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12.Ellipse
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Introduction, Standard Ellipses 28 minLecture12.1
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Shifted Ellipse, Examples, Second Definition of Ellipse 32 minLecture12.2
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Position of a point w.r.t ellipse, Parametric form, Position of a line, Condition of Tangency, Equation of Tangent in Various Forms 37 minLecture12.3
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Normal to Ellipse in Point form and Parametric Form, Chord of Contact, Chord Bisected at a point, Director Circle 36 minLecture12.4
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13.Hyperbola
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Introduction, Standard Hyperbolas, Shifted Hyperbola, Conjugate Hyperbola 42 minLecture13.1
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Parametric Form, Position of Line and Hyperbola, Equation of Tangent in different forms, Director Circle, Chord of Contact, Chord Bisected at a point 24 minLecture13.2
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Asymptotes, Rectangular Hyperbola, Rotated Rectangular Hyperbola 18 minLecture13.3
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14.Introduction to coordinate geometry
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Distance Formula, Section Formula, Area of Triangle 32 minLecture14.1
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Centroid, Incenter, Orthocenter, Circumcenter, Locus Problems 37 minLecture14.2
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15.Limits and Derivatives
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Introduction to limits 42 minLecture15.1
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EX-13.1 16 minLecture15.2
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Questions based on algebra of limits 41 minLecture15.3
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limits of a polynomial 12 minLecture15.4
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Rational Function 37 minLecture15.5
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Trigono Function 21 minLecture15.6
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Introduction to Derivatives 37 minLecture15.7
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Ex-13.2 22 minLecture15.8
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Algebra of Derivatives 38 minLecture15.9
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Derivative of polynomial 13 minLecture15.10
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Trigonometry Function 11 minLecture15.11
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16.Mathematical Reasoning
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Introduction to chapter 24 minLecture16.1
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Validating statements 24 minLecture16.2
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17.Statistics
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Mean Deviation 27 minLecture17.1
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Mean and Variance 35 minLecture17.2
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Standard Deviation 09 minLecture17.3
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Analysis of frequency distribution 24 minLecture17.4
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18.Probability
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Outcomes and sample space 19 minLecture18.1
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Probability of an event 38 minLecture18.2
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