Andhra Pradesh Board Class 11 Maths Syllabus

Safalta Expert Published by: Sylvester Updated Mon, 12 Sep 2022 08:28 PM IST

Highlights

Andhra Pradesh Board Class 11 Maths Syllabus

The Board of Intermediate Education, Andhra Pradesh is the decision of the educational board within the Indian nation of Andhra Pradesh (BIEAP) (BIEAP). It changed into established in 1971, and its headquarters were in Hyderabad, a region of the Indian state of Andhra Pradesh. Due to a state reorganisation in 2014, the board is currently located in Vijayawada. The board, which also provides two-three hundred and sixty-five day programmes in a variety of streams and courses, administers tests. One of India`s state secondary education agencies, the Andhra Pradesh Board of Intermediate Education, regulates the two-three hundred and sixty five days Intermediate Education curriculum, moreover known as Higher Secondary Classes (HSC)/11th and 12th class. General classes cover the humanities, science, and business studies.

Ideas can flow in an organised and chronological manner, offering a thorough comprehension of crucial concepts, in accordance with the Andhra Pradesh Board Class 11 Maths Syllabus. In the AP Board 11th Class Maths Syllabus, you can find a list of the topics and ideas studied in class throughout the current academic year. Students could better prepare for the exams by grasping the complex concepts in the Class 11 Maths Syllabus for the Andhra Pradesh Board.

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The AP Board Class 11 Maths Syllabus and the evaluation criteria can be used by students to better prepare for the exam and improve performance.


Andhra Pradesh Board Class 11 Maths Syllabus

Chapter Name Topics
Functions
  • Ordered Pairs
  • Types of Function-Definitions
  • Inverse Functions and Theorems  
  • Real valued functions (Demain, Range and Inverse)
Mathematical Induction
  • Principles of Mathematical Induction and Theorems
  • Applications of Mathematical Induction
  • Problems on divisibility
Matrices
  • Types of Matrices
  • Scalar multiple of a matrix and multiplication of matrices
  • Transpose of a matrix
  • Determinants
  • Adjoint and Inverse of a Matrix
  • Consistency and Inconsistency of system of Simultaneous Equations - Rank of a Matrix
  • Solution of Simultaneous Linear Equations
Addition of Vectors
  • Vectors as a triad of real numbers, some basic concepts
  • Classification (Types) of Vectors
  • Sum (Addition) of Vectors
  • Scalar Multiplication of a vector
  • Angle between two non- zero vectors
  • Linear Combination of Vectors
  • Components of a vectors in Three Dimensions
  • Vector Equations of Line and Plane
Product of Vectors
  • Scalar or dot product of two vectors-Geometrical interpretation Orthogonal Projections
  • Properties of dot product  
  • Expression for Scalar(dot) product, Angle between two vectors
  • Geometrical Vector methods
  • Vector equation of a plane –normal form 
  • Angle between two planes
  • Vector product (cross product) of two vectors and properties
  • Vector product in (i,j,k) system
  • Vector Areas
  • Scalar triple product
  • Vector equation of a plane-different forms, skew lines, shortest distance- plane, condition for coplanarity etc.
  • Vector triple product-results
  • Solved Problems
Trigonometric Ratios upto Transformations
  • Trigonometric ratios –variation –Graphs and periodicity
  • Trigonometric ratios of compound angles
  • Trigonometric ratios of multiple and sub- multiple angles  
  • Sum and product transformation
Trigonometric Equations
  • General solutions of trigonometric equations
  • Simple trigonometric equations-solutions
Inverse Trigonometric Functions
  • To reduce a trigonometric function into a bijective function
  • Graphs of Inverse trigonometric functions
  • Properties of inverse trigonometric functions
Hyperbolic Functions
  • Definitions of Hyperbolic Functions, graphs
  • Definitions of inverse Hyperbolic Functions and graphs
  • Additions formula of Hyperbolic Functions
Properties of Triangles
  • Relation between the sides and angles of a triangle
  • Sine, cosine and Tangent Rules- Projection Rules
  • Half angle formulae and area of a triangle
  • Incircle and excircles of a triangle
Locus
  • Definition of Locus- IIIustrations
  • Equation of Locus-Problems connected to it
Transformation of Axes
  • Transformation of axes-Rules,derivations and illustratiorts
  • Rotation of axes-Derivations-Illustrations
The Straight Line - Introduction
  • Revision of fundamental results
  • Straight line- Normal form-Illustrations
  • Straight line-Symmetric form
  • Straight line-Reduction into various forms
  • Intersection of two straight lines
  • Family of straight lines-Concurrent lines
  • Condition for Concurrent lines
  • Angle between two lines
  • Length of the perpendicular from a point to a line
  • Distance between two parallel lines
  • Concurrent lines- Properties related to a –triangle
Pair of Straight Lines - Introduction
  • Equations of a pair of lines passing through the origin Angle between a pair of lines
  • Condition for perpendicular and coincident lines, bisectors of angles
  • Pair of bisectors of angles
  • Pair- of lines – Second degree general equation
  • Conditions for parallel lines- Distance between them, Point of intersection of pair of lines
  • Homogenising a second degree equation with a first degree equation in x and y
Three Dimensional Coordinates - Introduction
  • Coordinates
  • Section formula
  • Solved Problems
Direction Cosines and Direction Ratios - Introduction
  • Direction cosines
  • Direction ratios
The Plane - Introduction
  • Cartesian equation of a plane- Simple illustrations
Limits and Continuity - Introduction
  • Intervals and neighbourhoods
  • Limits
  • Standard limits  
  • Continuity
Differentiation - Introduction
  • Derivative of a function
  • Elementary properties
  • Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Functions- Derivatives
  • Methods of differentiation
  • Second Order Derivatives
Application of Derivatives - Introduction
  • Errors and approximations
  • Geometrical interpretation of the derivative
  • Equations of tangent and normal to a curve
  • Lengths of tangent, normal, subtangent and subnormal
  • Angle between two curves and condition for orthogonality of curves
  • Derivatives as a rate of change
  • Rolle’s Theorem and Lagrange’s Mean Valve Theorem
  • Increasing and Decreasing functions
  • Maxima and Minima
 

What benefits may you expect from knowing the Class 11 Maths course material for the AP Board?

The students will be better equipped to organise their homework and prepare for assessments. The most recent Class 11 Maths Syllabus for the Andhra Pradesh Board is readily available to students on Safalta's website.

Where can I find the latest Maths course material for AP Board Class 11?

On Safalta's website, you may find the most updated AP Board Class 11 Maths Syllabus. The topics are available to students 24/7 online.

How many chapters are there in AP Board Class 11 Maths Syllabus?

There are 20 chapters in AP Board Class 11 Maths Syllabus.

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