MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

OFFICIAL SYLLABUS

Unit-I: Relations and Functions

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  branch.  Graphs  of  inverse trigonometric functions Elementary properties of inverse trigonometric functions.

Unit-II: Algebra

1. Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. 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 (restrict 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, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions. 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 interpretation.

Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in 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 inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals.

Definite integrals as a limit of a 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, circles/ parabolas/ellipses (in standard form only), Area between any of 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 equation whose general solution is given. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order

MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

OFFICIAL SYLLABUS

Unit-I: Relations and Functions

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  branch.  Graphs  of  inverse trigonometric functions Elementary properties of inverse trigonometric functions.

Unit-II: Algebra

1. Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. 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 (restrict 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, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions. 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 interpretation.

Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in 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 inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals.

Definite integrals as a limit of a 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, circles/ parabolas/ellipses (in standard form only), Area between any of 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 equation whose general solution is given. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

dy/dx + py = q, where p and q are functions of x or constants.

dx/dy + px = q, where p and q are functions of y or constants.

Unit-IV: Vectors and Three-Dimensional Geometry

1. Vectors

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. 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 a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.

2. Three - dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, Coplanar and skew lines, Shortest distance between two lines. Cartesian and vector equation of a plane. 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, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit-VI: Probability

1.  Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean and variance of random variable. Binomial probability distribution.

TO KNOW MORE

For Official Website: click here

For Time Table: click here

MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

TIME TABLE - MATHEMATICS

TIME TABLE - ALL SUBJECTS

MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

TIME TABLE - MATHEMATICS

TIME TABLE - ALL SUBJECTS

TO KNOW MORE

For Official Website: click here

For Time Table: click here

MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

KEY HIGHLIGHTS OF THE BOARD EXAM

This Year exam will be conducted for the following subject codes & their subjects:

MP BOARD EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Madhya Pradesh Board of Secondary Education (MPBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 25 February 2025 and will last upto 25 March 2025, it will take around 30 days to complete the class 12th board exam. The first exam will be held on 25 February 2025 for Hindi (Including Vocational Students) subject and the last exam will be held on 25 March 2025 for Mathematics subject. The practical exams for all students, both regular and private, will be held from 10th February 2025 to 25th March 2025.

KEY HIGHLIGHTS OF THE BOARD EXAM

This Year exam will be conducted for the following subject codes & their subjects:

IMPORTANT INSTRUCTION

1. All students are required to reach at their exam centres by 8:00 AM in the morning sharp.

2. For regular students, practical exams will be conducted from 10th February 2025 to 15th March 2025 at their respective schools or colleges. For private or self-study students, practical exams will take place from 25th February 2025 to 25th March 2025 at their designated exam centers.

HOW TO CHECK TIME TABLE

Students who are planning to appear for the MP Board Class 12th exam can download their complete timetable by following these simple steps:

Step 1: Go to the official website of the Madhya Pradesh Board of Secondary Education at www.mpbse.nic.in.

Step 2: On the homepage, find and click on the link for “MP Board Class 12th Time Table”

Step 3: A new page will open displaying the MP Board exam date sheet in PDF format.

Step 4: Carefully review the date sheet to get all the necessary details regarding the MP Board exam.

Step 5: Download and save the timetable. It is also recommended to take a printout for future reference.

TO KNOW MORE

For Official Website: click here

For Time Table: click here