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## Tuesday, January 31, 2023

MBSE Class 12th Mathematics Syllabus 2022 PDF Download - Mizoram Board has released the syllabus of MBSE Class 12th Mathematics Syllabus 2022 along with the official notification on the official website - mbose.in. The MBSE Class 12th Mathematics 2022 Syllabus pdf comprises the subject-wise topics which will be asked in the class 12 Mathematics exam. Students of Mizoram State Board Class 12th Mathematics can download the syllabus PDF from this page.

## Mizoram Board Class 12 Mathematics Syllabus 2022-23 PDF

Using the MBSE Class 12th Mathematics Syllabus 2022 PDF, students can prepare their study schedule and exam preparation strategy. As the MBSE exam date has been released, candidates can plan their schedule according to it, therefore, they can prepare their syllabus of MBSE Class 12th Mathematics Exam 2022 accordingly. Along with the MBSE Class 12th Mathematics 2022 syllabus, candidates can also check the official Mizoram Board exam pattern and the previous year's Mizoram Board Class 12th Mathematics question papers.

## Mizoram State Board Class 12th Mathematics Syllabus 2022 PDF Online

 Name of the Board MBSE Name of the Grade 12 Subjects Mathematics Year 2022-23 Format PDF/DOC Provider hsslive.co.in Official Website mbose.in

## How To Download Mizoram State Board Class 12th Mathematics Syllabus 2022 PDF Online?

1. Visit the official website - mbose.in.
2. Look for Mizoram Board Class 12th Mathematics Syllabus 2022.
3. Now check for MBSE Class 12 Mathematics Syllabus 2022 PDF.

## MBSE Class 12th Mathematics Syllabus 2022-23 PDF

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

Chapter Topics
UNIT I: RELATIONS AND FUNCTIONS
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 binary operations.
2. Inverse Trigonometric Functions
• Definition, range, domain, principal value branches.
• Graphs of inverse trigonometric functions.
• Elementary properties of inverse trigonometric functions.
UNIT II: ALGEBRA
UNIT II: ALGEBRA 1. Matrices
• Concept, notation order, equality, types of matrices.
• Zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices.
• Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication.
• Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restricted to square matrices of order 2).
• Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
2. Determinants
• Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors, and applications of determinants in finding the area of a triangle.
• Adjoint and inverse of a square matrix.
• Consistent inconsistency and number of solutions of a system of linear equations by examples, solving systems of linear equations in two or three variables (having unique solution) using the inverse of a matrix.
UNIT III: CALCULUS
1. Continuity and Differentiability
• Continuity and differentiability, the derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions.
• Derivatives of loge x and ex.
• Logarithmic differentiation.
• Derivative of functions expressed in parametric forms.
• Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations.
2. Applications of Derivatives
• Applications of derivatives: Rate of change, increasing/decreasing functions, tangents, and normals, approximation, 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 real-life situations).
3. Integrals
• Integration as an 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. Definite integrals as a limit of 1a sum. 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, arcs of circles/ parabolas/ellipses (in standard form. only), area between the two above said curves (the region should be clearly identifiable).
5. Differential Equations
• Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equations whose general solution is given.
• Solution of differential equations by the method of separation of variables; homogeneous differential equations of the first order and first degree.
• Solutions of linear differential equation of the type — 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, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
• Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, scalar triple product.
2. Three-dimensional Geometry
• Direction cosines/ratios of a line joining two points.
• Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines.
• Cartesian and vector equation of a plane.
• The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.
UNIT V: LINEAR PROGRAMMING
1. Linear Programming
• Introduction, related terminology such as constraints, objective function, optimisation, different types of linear programming (L.P.) problems, mathematical formulation of LP.
• 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
• Multiplications theorem on probability.
• Conditional probability, independent events, total probability
• Bayes-theorem Random variable, and its probability distribution, mean, and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution

## Key Benefits Of Solving MBSE Class 12th Mathematics Syllabus 2022-23 PDF

There are several benefits of MBSE Class 12th Mathematics Syllabus 2022 PDF

• It enhances the speed of solving questions and time management skills.
• It helps candidates to gain insight into the Mizoram Board Class 12th Mathematics Syllabus 2022 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.
• Mizoram State Board Class 12th Mathematics Syllabus 2022 PDF helps in understanding the Exam pattern and its level of difficulty.

## FAQ about Mizoram Board Class 12th Mathematics Syllabus 2022 PDF

#### What is the MBSE Class 12th Mathematics Syllabus 2022-23??

The MBSE Class 12th Mathematics Syllabus 2022 PDF comprises the subject-wise topics which will be asked in the exam.

#### Is it necessary to go through the Mizoram Board Class 12th Mathematics 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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