# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## Tuesday, January 2, 2024

WBBSE Class 12th Maths Syllabus PDF Download - WBCHSE has released the syllabus of WBBSE Class 12th Maths Syllabus along with the official notification on the official website - wbbse.wb.gov.in. The WBBSE Class 12th Maths Syllabus pdf comprises the subject-wise topics which will be asked in the class 12 Maths exam. Students of West Bengal State Board Class 12th Maths can download the syllabus PDF from this page.

## WBCHSE Class 12 Maths Syllabus 2022-23 PDF

Using the WBBSE Class 12th Maths Syllabus PDF, students can prepare their study schedule and exam preparation strategy. As the WBBSE exam date has been released, candidates can plan their schedule according to it, therefore, they can prepare their syllabus of WBBSE Class 12th Maths Exam accordingly. Along with the WBBSE Class 12th Maths syllabus, candidates can also check the official WBCHSE exam pattern and the previous year's WBCHSE Class 12th Maths question papers.

## West Bengal State Board Class 12th Maths Syllabus PDF Online

 Name of the Board WBBSE Name of the Grade 12 Subjects Maths Year 2022-23 Format PDF/DOC Provider hsslive.co.in Official Website wbbse.wb.gov.in

## How To Download West Bengal State Board Class 12th Maths Syllabus PDF Online?

1. Visit the official website - wbbse.wb.gov.in.
2. Look for WBCHSE Class 12th Maths Syllabus 2022.
3. Now check for WBBSE Class 12 Maths Syllabus PDF.

## WBBSE Class 12th Maths Syllabus 2022-23 PDF

Students of download the WBBSE Class 12th Maths Syllabus 2022-23 PDF online using the links provided below:

Unit-1 : Relations and Function

• 1 . Relations and Functions
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function
• 2. Inverse Trigonometric Functions
Definition.range , domain , principal value branches

Unit-II: Algebra

• 1 . Matrices:
Concept, notation order equality, types of matrices, zero matrix, transpose of a matrix and symmetric and skew symmetric matrices, Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non­commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices(Here all matrices will have real entries)
• 2. Determinants:
Determinants of a square matrix(upto 3×3 matrices), properties of determinants, minors and Cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency ,inconsistency and the number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables(having unique solutions) using inverse of a matrix.

Unit-Ill : Calculus

• 1.Continuity and Differentability:
Continuity and differentiability, derivative of composite functions ,chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions, concept of exponential and logarithmic functions to the base e . Logarithmic functions as inverse of exponential functions.
Derivatives of logarithmic and exponential functions . logarithmic, differentiation, derivative of function expressed in parametric forms. Second order derivatives.
• 2. Applications of derivatives:
Applications of derivatives, increasing/ decreasing functions, tangents and normals, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems(that illustrate basic principles and understanding of the subject as well as a real time situation)
• 3. Integrals:
Integration as inverse process of differentiation. Integration of a variety of functions by substitution by partial fractions and by parts, only simple integrals of the type to be evaluated.
dx,dx
Fundamental theorem of Calculus(without proof) Basic properties of definite integrals and evaluation of definite integrals.
• 4. Applications of the Integrals:
Applications in finding the area under simple curves especially lines ,areas of circles/ parabola/ ellipse (in standard form only)
• 5 Differential Equations :
Definition , order and degree, general and particular solutions of a differential equation Formation of differential equation whose general solution is given.
Solution of differential equation by method of separation of variables, homogenius differential equation of first order and first degree.

UNIT-IV: Vectors and Three-Dimensional Geometry

• 1. Vectors:
Vectors and Scalars, magnitude and direction of a vector, Direction cosines/ ratios of vectors , types of vectors (equal, unit, zero, parallel and collinear vectors) ,Position vector of a point
,negative of a vector, components of a vector ,addition of vectors, multiplication of vectors by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar(dot) product of the vectors, projection of a vector on a line . Vector(cross) product of vectors.
. Thre-Dimensional Geometry :
Direction Cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines ,shortest distance between two lines. Cartesian and vector equation of a plane .Distance of a point from a plane.

UNIT-V: Linear Programming :

• 1. Linear Programming
Introduction, Definition of related terminology such as constraints,objective function, optimization, different types of linear programming(L.P.) problems, graphical method of solution for problems in two variables feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions( up to three non-trivial constraints).

UNIT-VI: Probability:

• 1. Probability :
Multiplication theorem on probability, Conditional probability, independent events, total probability, Bayes’ Theorem, Random variable and its probability distribution.

## Key Benefits Of Solving WBBSE Class 12th Maths Syllabus 2022-23 PDF

There are several benefits of WBBSE Class 12th Maths Syllabus PDF

• It enhances the speed of solving questions and time management skills.
• It helps candidates to gain insight into the WBCHSE Class 12th Maths Syllabus PDF.
• Understand the type of questions and marking scheme.
• Helps in analyzing the preparation level.
• Gives an idea about the real exam scenario.
• Enhances exam temperament and boosts confidence.
• Gives an idea about the topics important for examination point of view.
• West Bengal State Board Class 12th Maths Syllabus PDF helps in understanding the Exam pattern and its level of difficulty.

## FAQ about WBCHSE Class 12th Maths Syllabus PDF

#### What is the WBBSE Class 12th Maths Syllabus 2022-23??

The WBBSE Class 12th Maths Syllabus PDF comprises the subject-wise topics which will be asked in the exam.

#### Is it necessary to go through the WBCHSE Class 12th Maths Syllabus 2022?

Candidates, if they want to score higher marks and stay ahead in the competition, should not ignore the syllabus. They should read the syllabus thoroughly. This will help in developing a strong preparation strategy and candidates will also gain valuable insights into the exam pattern, important chapters and topics, weightage of marks, objective of the entire course, etc.
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