Notopedia is a nonprofit organization with a mission to provide free learning support to all. Click here to donate or volunteer
Notopedia has a mission to provide free learning support. Click here to donate or volunteer.
OFFICIAL J&K BOARD 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.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
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 (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, 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.
UNIT III : CALCULUS
1. Continuity and Differentiability
Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivate of implicit functions. Concept of exponential and logarithmic functions and their derivaties. Logarithmic differentiation.
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 and simple applications.
2. Applications of Derivatives
Applications of derivatives : rate of change, increasing / decreasing functions, tangents & 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 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 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, area 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 equation whose general solution is given.Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree, Etc.
UNIT IV : VECTORS AND THREE – DIMENSIONAL GEOMERTY
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 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.
2. Three –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. 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, 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. Baye’s Theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.
Suggested Textbook :
Mathematics Textbook for Class XII, NCERT, Publication.
To More Information :- Click Here
OFFICIAL J&K BOARD QUESTION PAPER DESIGN
Theory Exam | Total Time: 3 Hours | Total Marks: 100 |
RELATIONS AND FUNCTIONS | Marks 10 | |
ALGEBRA | Marks 13 | |
CALCULUS | Marks 44 | |
VECTORS AND THREE – DIMENSIONAL GEOMETRY | Marks 17 | |
LINEAR PROGRAMMING | Marks 06 | |
PROBABILITY | Marks 10 |
Conditions of eligibility for admission to class XII-
1. Candidates who have been studying in a School recognised by or affiliated to this Board or any other recognised Board of Secondary Education in India.
2. Candidates can not take admission directly in class XII.
3. Candidates had completed a regular course of study for class XI and passed class XI examination from a school affilicated to this Board.
4. The candidates percentage for attendance should be 75% so that the Board to make him/her eligible for the Examinations.
5. Candidate can be admitted to a school only on the transfer of the parents(s) or shifting of their families from one place to another, after procuring from the student the marksheet and the Transfer Certificate duly countersigned by the Educational Authorities of the Board concerned.
6. There is no age limit for candidates taking the Examination.
7. Candidate should have doucments in support of his having passed the qualifying or equivalent qualifying examination.
Official Schedule 2022
Date & Day | Faculty of Science | Faculty of Arts | Faculty of Home Science | Faculty of Commerce | Time |
25-03-2022 (Friday) | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | 11:00 A.M |
28-03-2022 (Monday) | Geography | Geography/ Psychology/ Music/ Philosophy/ Education | _ | _ | 11:00 A.M |
31-03-2022 (Thursday) | General English | General English | General English | General English | 11:00 A.M |
04-04-2022 (Monday) | Physics | Home Science (Elective) History/ Public Administration | Human Development | Business Mathematics Public Administration | 11:00 A.M |
08-04-2022 (Friday) | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management/ English Literature | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management | 11:00 A.M |
12-04-2022 (Tuesday) | Biology (Botany & Zoology)/ Statistics | Political Science Statistics | _ | Accountancy | 11:00 A.M |
18-04-2022 (Monday) | Chemistry | Arabic/ Persian/ Sanskrit/ Economics | Clothing for the Family | Entrepreneurship Economics | 11:00 A.M |
06-05-2022 (Friday) | Mathematics/ Applied Mathematics | Mathematics/ Applied Mathematics/ Sociology | Extension Education | _ | 11:00 A.M |
09-05-2022 (Monday) | Geology/ Biotechnology/ Microbiology/ Biochemistry | Urdu/ Hindi/ Kashmiri Dogri/ Punjabi/ Bhoti |
Official Schedule 2022
Date & Day | Faculty of Science | Faculty of Arts | Faculty of Home Science | Faculty of Commerce | Time |
25-03-2022 (Friday) | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Telecomm. | 11:00 A.M |
28-03-2022 (Monday) | Geography | Geography/ Psychology/ Music/ Philosophy/ Education | _ | _ | 11:00 A.M |
31-03-2022 (Thursday) | General English | General English | General English | General English | 11:00 A.M |
04-04-2022 (Monday) | Physics | Home Science (Elective) History/ Public Administration | Human Development | Business Mathematics Public Administration | 11:00 A.M |
08-04-2022 (Friday) | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management/ English Literature | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management | Computer Science/ Information Practices/ Environmental Science/ Functional English/ Physical Education/ Islamic Studies/ Vedic Studies/ Electronics Buddhist Studies/ Travel, Tourism and Hotel Management | 11:00 A.M |
12-04-2022 (Tuesday) | Biology (Botany & Zoology)/ Statistics | Political Science Statistics | _ | Accountancy | 11:00 A.M |
18-04-2022 (Monday) | Chemistry | Arabic/ Persian/ Sanskrit/ Economics | Clothing for the Family | Entrepreneurship Economics | 11:00 A.M |
06-05-2022 (Friday) | Mathematics/ Applied Mathematics | Mathematics/ Applied Mathematics/ Sociology | Extension Education | _ | 11:00 A.M |
09-05-2022 (Monday) | Geology/ Biotechnology/ Microbiology/ Biochemistry | Urdu/ Hindi/ Kashmiri Dogri/ Punjabi/ Bhoti | _ | Business Studies | 11:00 A.M |
Analysis of 2021 Question Paper
Paper Code - B-5-C
1. There are total 29 questions in this part.
2. This question paper is divided into four sections: Section A, Section B, Section C and Section D.
3. All sections are compulsory. Solve all the parts of a question together.
4. Section A is based on Multiple Choice Questions. Total 4 questions is in this section. All question carries 1 marks each.
5. Section B is based on Vey Short Answer Type Questions. Total 8 questions is in this section. All question carries 2 marks each.
6. Section C is based on Short Answer Type Questions. Total 11 questions is in this section. All question carries 4 marks each.
7. Section D is based on Long Answer Type Questions. Total 6 questions is in this section. All question carries 6 marks each.
And
There was no overall option. However, internal choice is given in All questions of Section D. You have to choose only one option.
Note
1. Difficulty Level of Mathematics Paper : Moderate to Difficult.
2. All questions in the paper were from the latest syllabus and based on NCERT textbooks
3. Average range of marks required was 75+ (out of 100)
1. There are total 29 questions in this part.
2. This question paper is divided into four sections: Section A, Section B, Section C and Section D.
3. All sections are compulsory. Solve all the parts of a question together.
4. Section A is based on Multiple Choice Questions. Total 4 questions is in this section. All question carries 1 marks each.
5. Section B is based on Vey Short Answer Type Questions. Total 8 questions is in this section. All question carries 2 marks each.
6. Section C is based on Short Answer Type Questions. Total 11 questions is in this section. All question carries 4 marks each.
7. Section D is based on Long Answer Type Questions. Total 6 questions is in this section. All question carries 6 marks each.
8.There was no overall option. However, internal choice is given in All questions of Section D. You have to choose only one option.
According to the official datesheet, the Higher Secondary Part II exams for the soft zone areas of Jammu and Kashmir will commence on February 15, 2025...
Posted On: 28 Dec, 2024 | |
Read More |
Students who appeared in any of these exams can check their scores and download their results on the official website by entering their registration number and roll number...
Posted On: 07 Nov, 2024 | |
Read More |
![]() |
![]() |
![]() |
© 2025 Notopedia All rights reserved.
This content has been book marked