నెల్లూరు: మనుబోలు మండలం బద్వేలు క్రాస్‌రోడ్డు దగ్గర కారు బోల్తా, ముగ్గురికి గాయాలు|కర్నూలు: 16 వ రోజు జగన్ ప్రజా సంకల్ప యాత్ర|రంగారెడ్డి: మైలార్‌దేవ్‌పల్లిలో కింగ్స్‌ కాలనీలో ముస్తఫా అనే వ్యక్తిపై దుండగుల కాల్పులు|కడప: జగన్ సీఎం అయితే తన ఆస్తులు పెరుగుతాయి..చంద్రబాబు సీఎంగా ఉంటే ప్రజల ఆస్తులు పెరుగుతాయి: మంత్రి సోమిరెడ్డి|సిరిసిల్ల: అన్ని గ్రామాల్లో కేసీఆర్ గ్రామీణ ప్రగతి ప్రాంగణాలు నిర్మిస్తాం: మంత్రి కేటీఆర్|హైదరాబాద్: బంజారాహిల్స్ పోలీస్‌ స్టేషన్‌లో యూసుఫ్‌గూడ కార్పొరేటర్ తమ్ముడిపై కేసు నమోదు|అమరావతి: చీఫ్‌విప్‌గా పల్లె రఘునాథరెడ్డి పేరు, శాసనమండలి చీఫ్‌ విప్‌గా పయ్యావుల కేశవ్‌ పేరు ఖరారు|అనంతపురం: జెట్ ఎయిర్‌వేస్‌లో ఉద్యోగాల పేరుతో మోసం, రూ.14 లక్షలు వసూలు చేసిన యువకుడు|ఢిల్లీ: సరి, బేసి విధానానికి ఎన్జీటీ గ్రీన్‌సిగ్నల్, కాలుష్యం పెరిగినప్పుడు అమలు చేసుకోవచ్చన్న ఎన్జీటీ|శ్రీకాకుళం: వైసీపీ ఎమ్మెల్యేల గొంతు నొక్కుతున్నారు.. నిరసనగా అసెంబ్లీని బహిష్కరించాం: వైసీపీ నేత ధర్మాన
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INTERMEDIATE - I
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INTERMEDIATE - I
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MATHEMATICS
1 B -10. Applications of Derivatives
10.0. Introduction
10.1 Errors and Approximations
10.2 Geometrical Interpretation of a Derivative
10.3 Equations of Tangents and Normals
10.4 Lengths of Tangent, Normal, Sub Tangent and Sub Normal
10.5 Angles between Two Curves and Condition for Orthogonality of Curves
10.6 Derivative as Rate of Change
10.7 Rolle’s Theorem and Lagrange’s Mean Value Theorem without Proofs and Their Geometrical Interpretation
10.7 Rolle’s Theorem and Lagrange’s Mean Value Theorem without Proofs and Their Geometrical Interpretation
10.7 Rolle’s Theorem and Lagrange’s Mean Value Theorem without Proofs and Their Geometrical Interpretation
10.8 Increasing and Decreasing Functions
10.9 Maxima and Minima
MATHS 1 A – 1 - Algebra - Functions
1.0. Introduction
1.0. Introduction
1.0. Introduction
1.1 Types of Functions – Definitions
1.2 Inverse Functions and Theorems
1.2 Inverse Functions and Theorems
1.3 Domain, Range, Inverse of Real Valued Functions
2 – Mathematical Induction
2.0 Introduction
2.1 Principle of Mathematical Induction & Theorems
2.1 Principle of Mathematical Induction & Theorems
2.1 Principle of Mathematical Induction & Theorems
2.1 Principle of Mathematical Induction & Theorems
2.2 Applications of Mathematical Induction
2.3 Problems on Divisibility
3 – Matrices
3.0. Introduction
3.1 Types of Matrices
3.2 Scalar Multiple of a Matrix and Multiplication of Matrices
3.2 Scalar Multiple of a Matrix and Multiplication of Matrices
3.2 Scalar Multiple of a Matrix and Multiplication of Matrices
3.3 Transpose of a Matrix
3.4 Determinants
3.4 Determinants
3.5 Adjoint and Inverse of a Matrix
3.6 Consistency and Inconsistency of Equations- Rank of a Matrix
3.7 Solution of Simultaneous Linear Equations
4 – Vector Algebra
4.0. Introduction
4.0.1. Addition of Vectors
4.1 Vectors as a Triad of Real Numbers
4.2 Classification of Vectors
4.3 Addition of Vectors
4.4 Scalar Multiplication
4.5 Angle between Two Non Zero Vectors
4.6 Linear Combination of Vectors
4.7 Component of a Vector in Three Dimensions
4.8 Vector Equations of Line and Plane including their Cartesian Equivalent Forms
4.8 Vector Equations of Line and Plane including their Cartesian Equivalent Forms
4.8 Vector Equations of Line and Plane including their Cartesian Equivalent Forms
5 - Product of Vectors
5.0. Introduction
5.1 Scalar Product - Geometrical Interpretations - Orthogonal Projections
5.1 Scalar Product - Geometrical Interpretations - Orthogonal Projections
5.1 Scalar Product - Geometrical Interpretations - Orthogonal Projections
5.2 Properties of Dot Product
5.3 Expression of Dot Product in i, j, k System - Angle between Two Vectors
5.3 Expression of Dot Product in i, j, k System - Angle between Two Vectors
5.4 Geometrical Vector Methods
5.5 Vector Equations of Plane in Normal Form
5.6 Angle between Two Planes
5.7 Vector Product of Two Vectors and Properties
5.8 Vector Product in i, j, k System.
5.8 Vector Product in i, j, k System.
5.9 Vector Areas
5.9 Vector Areas
5.10 Scalar Triple Product
5.11 Vector Equations of Plane in Different Forms, Skew Lines
5.11.1. Shortest Distance and their Cartesian Equivalents
5.11.2. Plane through the Line of intersection of Two Planes
5.11.3. Condition for Coplanarity of Two Lines
5.11.4. Perpendicular Distance of a Point from a Plane
5.11.5. Angle between Line and a Plane
5.11.5. Angle between Line and a Plane
5.11.6. Cartesian Equivalents
5.12 Vector Triple Product – Results
6 - Trigonometry
6.0. Introduction
6.0. Introduction
6.0.1.Trigonometric Ratios up to Transformations
6.1 Graphs and Periodicity of Trigonometric Functions
6.2 Trigonometric Ratios and Compound Angles
6.3 Trigonometric Ratios of Multiple and sub- Multiple Angles
6.4 Transformations - Sum and Product Rules
7 - Trigonometric Equations
7.0. Introduction
7.0. Introduction
7.1 General Solution of Trigonometric Equations
7.2 Simple Trigonometric Equations – Solutions
7.2 Simple Trigonometric Equations – Solutions
7.2 Simple Trigonometric Equations – Solutions
7.2 Simple Trigonometric Equations – Solutions
7.2 Simple Trigonometric Equations – Solutions
7.2 Simple Trigonometric Equations – Solutions
8 - Inverse Trigonometric Functions
8.0. Introduction
8.0. Introduction
8.1 To reduce a Trigonometric Function into a Bisection
8.2 Graphs of Inverse Trigonometric Functions.
8.3 Properties of Inverse Trigonometric Functions.
9 - Hyperbolic Functions
9.0. Introduction
9.1 Definition of Hyperbolic Function – Graphs
9.2 Definition of Inverse Hyperbolic Functions – Graphs
9.3 Addition formulas of Hyperbolic Functions.
10. Properties of Triangles
10.0.Introduction
10.1 Relation between Sides and Angles of a Triangle
10.2 Sine, Cosine, Tangent and Projection Rules
10.3 Half angle formulae and areas of a triangle
10.4 Incircle and Excircle of a Triangle
MATHS 1 B - 1 - Coordinate Geometry
1.0. Introduction
1.0.1. Locus
1.1 Definition of Locus – Illustrations
1.1 Definition of Locus – Illustrations
1.2 To find Equations of Locus - Problems Connected to It
1 B - 2 - Transformation of Axes
2.0. Introduction
2.1 Transformation of Axes - Rules, Derivations and Illustrations
2.2 Rotation of Axes - Derivations – Illustrations
1 B - 3 - The Straight Line
3.0. Introduction
3.1 Revision of Fundamental Results
3.2 Straight Line - Normal Form – Illustrations
3.3 Straight Line - Symmetric Form
3.4 Straight Line - Reduction into Various Forms
3.5 Intersection of Two Straight Lines
3.6 Family of Straight Lines - Concurrent Lines
3.7 Condition for Concurrent Lines
3.8 Angle between Two Lines
3.9 Length of Perpendicular from a Point to a Line
3.10 Distance between Two Parallel Lines
3.11 Concurrent Lines - Properties Related to a Triangle
1 B - 4 - Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.0. Pair of Straight Lines
4.1 Equations of Pair of Lines passing through Origin, Angle between a Pair of Lines
4.2 Condition for Perpendicular and Coincident Lines, Bisectors of Angles
4.2 Condition for Perpendicular and Coincident Lines, Bisectors of Angles
4.2 Condition for Perpendicular and Coincident Lines, Bisectors of Angles
4.3 Pair of Bisectors of Angles.
4.4 Pair of Lines - Second Degree General Equation
4.5 Conditions for Parallel Lines - Distance between Them, Point of Intersection of Pair of Lines
4.5 Conditions for Parallel Lines - Distance between Them, Point of Intersection of Pair of Lines
4.6 Homogenizing a Second Degree Equation with a First Degree Equation in X and Y.
1 B - 5 - Three Dimensional Coordinates
5.1. Coordinates
5.2 Section Formulas - Centroid of a Triangle and Tetrahedron
1 B - 6 - Direction Cosines and Direction Ratios
6.0. Introduction
6.1 Direction Cosines
6.2 Direction Ratios
1 B - 7 - Plane
7.0. Introduction
7.1 Cartesian Equation of Plane - Simple Illustrations
1 B - 8 - Calculus
8.0. Introduction
8.0.1.Limits and Continuity
8.1 Intervals and Neighborhoods
8.2 Limits
8.2 Limits
8.2 Limits
8.2 Limits
8.3 Standard Limits
8.4 Continuity
1 B - 9 - Differentiation
9.0. Introduction
9.1 Derivative of Function
9.2 Elementary Properties
9.3 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function - Derivatives
9.3 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function - Derivatives
9.3 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function - Derivatives
9.3 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function - Derivatives
9.4 Methods of Differentiation
9.5 Second Order Derivatives