12th Maths CBSE

12th Maths is an important subjects in Commerce stream which covers the basic knowledge in Relations and Functions Algebra, Calculus, Vectors and Three - Dimensional Geometry, Linear Programming and Probability in accounting. Class 12th Maths CBSE NCERT Syllabus provides a broad degree of concepts and introduction to the topic.

How 12th Maths CBSE Tuitions are taken by us?

At Stride Edutech we understand that effective learning is incredibly important, so we have a complete and comprehensive learning package for CBSE Class 12 Maths students which may also help them to achieve good marks within the examination.
Our teaching method is doing chart work and making the students understand the concept easily. We conduct Monthly test or chapter wise test for the students and discuss the answer sheet with the students so that the students have a chance to troubleshoot themself can understand the mistakes committed by them

12th Maths CBSE tuition are conducted through online class and Face to Face Class (offline class).

11th Maths CBSE Marks weightage

Relations and Functions
Vectors and Three - Dimensional Geometry
Linear Programming
Internal Assessment

12th Maths CBSE Tuition Fees

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CA Foundation Question Papers

Download the CA Foundation question papers by clicking the link

Question Paper
Video Solutions
Principles and Practice of Accounting
MTP1 - Free
MTP2, MTP3, MTP4, MTP5 - Buy
Business Law & Business Correspondence and Reporting
MTP1 - Free
MTP2, MTP3, MTP4, MTP5 - Buy
Business Mathematics and Logical Reasoning & Statistics
MTP1 - Free
MTP2, MTP3, MTP4, MTP5 - Buy
Business Economics & Business and Commercial Knowledge
MTP1 - Free
MTP2, MTP3, MTP4, MTP5 - Buy

12th Maths CBSE Syllabus

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.

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

1. 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 ValueTheorems (without proof) and their geometric interpretation.

2. 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 of the following types and problems based on them.
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, GeometricalInterpretation, 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, optimisation, 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.

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Frequently Asked Questions / FAQ

What is the CA Foundation?


It is the First level of CA course

What is the process for the CA Foundation Exam?


You can register CA Foundation course through online in icai.org. You will get study materials via post once you register

How to get my SRO number for my CA foundation?


Once you register online your registration number will be created and displayed. Which will start with ”SRO”

How many subjects are there in CA Foundation?


There are a total of 4 subjects in CA Foundation

What are the subjects in CA Foundation?


The 4 subjects in CA Foundation are,
Paper 1 - Principles and Practice of Accounting
Paper 2 - Business Law & Business Correspondence and Reporting
Paper 3 - Business Mathematics and Logical Reasoning & Statistics
Paper 4 - Business Economics & Business and Commercial Knowledge

Paper 3 and Paper 4 are objective type papers with negative marking

What is the difference between CA CPT and CA Foundation?


CA CPT is the old syllabus and CA Foundation is the new syllabus

What is the syllabus for CA Foundation?


The CA Foundation subject and mark details are given above. You can find the latest syllabus in BOS portal in icai.org

What documents are required for CA foundation registration?


The documents required for CA Foundation are,
Student Photo
Student Sign
Address Proof
10th and 12th Marksheet

Is CA Foundation Mandatory?


CA Foundation is mandatory for students who want to study CA after completing 12th. Students who have completed degree can skip CA Foundation and take up CA Inter directly.

How could I order the ICAI CA foundation study material online?


Once you have registered in ICAI, the books will be sent to you through post.

When the exams are conducted for CA?


ICAI conducts the exams in May and November every year. The exams in 2020 might be delayed due to corono virus lockdown.

When is the last date to submit the registration?


For May exams, 31st Dec of the previous year is the last date for registration
For Nov exams, 30th June is the last date for registration.

Does CA Foundation have negative marking?


Yes. Two papers of the 4 papers in CA Foundation are objective type papers and have negative marking. For every wrong answer 0.25 negative marks apply. The two papers are,
- Business Mathematics and Logical Reasoning & Statistics
- Business Economics & Business and Commercial Knowledge

What is the eligibility for CA Foundation?


+2 (State board or CBSE) completion is the eligibility for CA Foundation

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