Class XII Maths Formulas  Basics  Assignments  SP
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Chapterwise Basics and Formulas 
Mathematics MCQ Class XII 

Maths Practical (Class
XI) For 202122 

Maths Practical (Class
XII) For 202122 

Sample Question Papers
Term1 (202122) 

Maths Project Work For Class XII 
TEACHERS NOTESSUBJECT: MATHEMATICS CLASS XII
CLASS 12 (Non Medical and Applied Mathematics)  
NCERT Mathematics Book[12]
with solutions


NCERT
Book

NCERT
Sol.

NCERT
Book

NCERT
Sol.


RESOURCE CENTRE MATHEMATICS
CLASS XIIComplete explanation with CBSE Syllabus 202223 
MATHS FORMULAS 
Basic & Formulas Multiple Choice Questions Ch1 
CHAPTER 2: (Inverse Trigonometric Functions) Syllabus: Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Assignment 1 Multiple Choice Questions Ch2 
CHAPTER 3: (Matrices) Syllabus: 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. Oncommutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). Sol. of Important Questions Ch3 Multiple Choice Questions Ch3 
Syllabus: Determinant of a square matrix (up to 3 x 3 matrices), minors, cofactors 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. Multiple Choice Questions Ch4 
CHAPTER 5: Continuity and Differentiability Syllabus: Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin^{−1} 𝑥 , cos^{−1} 𝑥 and tan^{−1} 𝑥, 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. Basics & Formulas Limit & Continuity Assignment 1 Multiple Choice Questions Ch5 
Syllabus: Applications of derivatives: rate of change of bodies, increasing/decreasing functions, 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). Basics & Formulas Multiple Choice Questions Ch6 
Syllabus: 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. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. Indefinite Integral Definite Integral Multiple Choice Questions Ch7 
Syllabus: Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only) Basic & Formula's Conic Section  1 (Circle and Parabola) Conic Section  2 (Ellipse and Hyperbola) Multiple Choice Questions Ch8 
Syllabus : Definition, order and degree, general and particular solutions of a differential equation. 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: + py = q, where p and q are functions of x or constants. + px = q, where p and q are functions of y or constants Basics & Formulas Multiple Choice Questions Ch9 
CHAPTER 10: Vector Algebra Syllabus: 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. 
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines. Basics & Formulas Assignment Multiple Choice Questions Ch11 
Syllabus: Introduction, related terminology such as constraints, objective function, optimization, 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 nontrivial constraints). Basics & Formula's Multiple Choice Questions Ch12 
Syllabus: Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable. 
Common errors made by the students while solving the questions
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