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OFFICIAL SYLLABUS
Unit – I Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal Set, Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set, Properties of Complement.
Unit – II Relations and Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of Relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation, Pictorial representation of a function, domain, co-domain and range of A function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.
Unit – III Trigonometric Functions
Positive and negative angles, Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:
tan (x±y) = tanx ± tany/ 1 -+ tanx tany
cot (x±y) = cotx coty -+1 / coty ± cotx
sin alpha (±) sin beta = 2sin(1/2) (alpha ± beta) cos(1/2) (alpha -+ beta)
cos alpha + cos beta = 2cos(1/2) (alpha + beta) cos(1/2) (alpha - beta)
cos alpha - cos beta = - 2sin(1/2) (alpha + beta) sin(1/2) (alpha - beta)
Identities related to sin2x, cos2x, tan2x, sin3x, cos3xand tan3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
Unit – IV Principle of Mathematical Induction
The Principle of Mathematical induction and Simple applications.
Unit – V Permutation and Combinations
The fundamental principle of counting. Factorial n, Permutations and combinations, derivation of formulae and their connections, simple applications.
Unit – VI Complex Numbers and Linear Inequalities
Need for complex numbers, especially root of (-1) to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equation in the complex number system.
Linear inequalities: Algebraic solution of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variable. Solution of a system of linear inequalities in two variables- graphically.
Unit – VII Limits and Derivates
Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit – VIII Straight Lines
Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line, parallel to axes, point – slope form, slope – intercept form, two – point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.
Unit – IX Conic Sections
Sections of a cone: Circles, Ellipse, Parabola, Hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of Parabola, Ellipse and hyperbola, standard equation of a circle.
Unit – X Probability
Random experiments: Outcomes, Simple spaces (set representation). Events: Occurrence of events ‘not,’ ‘and’ ‘or’ events, mutually exclusive events. Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ & ‘or’ events.
Unit – XI Statistics
Measure of dispersion: mean deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distributions with equal means but different variances.
Unit – XII Binomial Theorem
History, Statement and proof of the binomial theorem for positive integral indices Pascal’s triangle, general and middle term in binomial expansion simple applications.
Unit – XIII Sequence and Series
Sequence and Series. Arithmetic Progression (A.P.), arithmetic mean (A.M). Geometric progression (G.P) general term of a G.P sum of n terms if a G.P. Geometric mean (G.M), relation between A.M. and G.M. Sum to n terms of the special series.
Unit – XIV Introduction to Three Dimensional Geometry
Coordinates axes and coordinate planes in three dimensions. Coordinates of a point Distance between two points and section formula.
Unit - XV Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases- consolidating the understanding of “if and only if (necessary and sufficient) conditions”, “implies,” “and/or”, “Implied by,” “and,” “or”, “there exists” and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words – difference between contradiction, converse and contrapositive.
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PAPER FORMAT
One Paper of 100 Marks | Time: 3 Hrs | Maximum Marks: 100 |
Unit 1: Sets | Maximum Time of 3 Hrs. | 6 Marks |
Unit 2: Relations and Functions | 6 marks | |
Unit 3: Trigonometric Functions | 12 marks | |
Unit 4: Principle of Mathematical Induction | 4 marks | |
Unit 5: Permutations and Combinations | 6 marks | |
Unit 6: Complex Numbers and Linear inequalities | 6 marks | |
Unit 7: Limits and Derivatives | 10 marks | |
Unit 8: Co-ordinate Geometry (Straight Line) | 6 marks | |
Unit 9: Conic Sections (Circles) Parabola, Ellipse, Hyperbola | 10 marks | |
Unit 10: Probability | 6 marks | |
Unit 11: Statistics | 6 marks | |
Unit 12: Binomial Theorem | 6 marks | |
Unit 13: Sequences and Series | 8 marks | |
Unit 14: Introduction to Three Dimensional Geometry | 4 marks | |
Unit 15: Mathematical Reasoning | 4 marks |
Conditions of eligibility for admission to class XI
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 XI.
3. Candidates had completed a regular course of study for class X and passed class X 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 |
20-04-2022 (Wednesday) | Geography | Geography/ Psychology/ Music/ Philosophy/ Education | _ | Business Studies | 11:00 A.M |
23-04-2022 (Saturday) | General English | General English | General English | General English | 11:00 A.M |
26-04-2022 (Tuesday) | Chemistry | Arabic/ Persian/ Sanskrit/ Economics | _ | Entrepreneurship Economics | 11:00 A.M |
28-04-2022 (Thursday) | Geology/ Biotechnology/ Microbiology/ Biochemistry | Urdu/ Hindi/ Kashmiri Dogri | Family Healthcare & Prevention | _ | 11:00 A.M |
02-05-2022 (Monday) | Physics | Home Science (Elective) History/ Public Administration | Management of Resources | Business Mathematics Public Administration | 11:00 A.M |
04-05-2022 (Wednesday) | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | 11:00 A.M |
07-05-2022 (Saturday) | Biology (Botany & Zoology)/ Statistics | Political Science Statistics | _ | Accountancy | 11:00 A.M |
10-05-2022 (Tuesday) | 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 | 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 |
OFFICIAL SCHEDULE 2022
Date & Day | Faculty of Science | Faculty of Arts | Faculty of Home Science | Faculty of Commerce | Time |
20-04-2022 (Wednesday) | Geography | Geography/ Psychology/ Music/ Philosophy/ Education | _ | Business Studies | 11:00 A.M |
23-04-2022 (Saturday) | General English | General English | General English | General English | 11:00 A.M |
26-04-2022 (Tuesday) | Chemistry | Arabic/ Persian/ Sanskrit/ Economics | _ | Entrepreneurship Economics | 11:00 A.M |
28-04-2022 (Thursday) | Geology/ Biotechnology/ Microbiology/ Biochemistry | Urdu/ Hindi/ Kashmiri Dogri | Family Healthcare & Prevention | _ | 11:00 A.M |
02-05-2022 (Monday) | Physics | Home Science (Elective) History/ Public Administration | Management of Resources | Business Mathematics Public Administration | 11:00 A.M |
04-05-2022 (Wednesday) | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | (Vocational) IT & ITES/ Retail Healthcare/ Tourism/ Security/ Media and Entertainment/ Beauty and Wellness/ Physical Education and Sports/ Agriculture/ Electronic and Hardware/ Automotive/ Apparels, Make up and Home Furnishing | 11:00 A.M |
07-05-2022 (Saturday) | Biology (Botany & Zoology)/ Statistics | Political Science Statistics | _ | Accountancy | 11:00 A.M |
10-05-2022 (Tuesday) | 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 | 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 |
13-05-2022 (Friday) | Mathematics/ Applied Mathematics | Mathematics/ Applied Mathematics/ Sociology | Food Science/ Food Technology | _ | 11:00 A.M |
Analysis of 2021 Question Paper
Paper Code - C-5-B
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 three question of section C & 5 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 70+ (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. Internal choice is given in 3 question of section C & 5 questions of Section D. You have to choose only one option.
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