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HP Solutions syllabus

CBSE type 11 Maths Syllabus 2021-22: CBSE tutorial Session 2021-22 | HP2-E31 exam Braindumps and Latest Questions

check CBSE category 11 Maths Syllabus 2021-22. it's relevant for CBSE academic Session 2021-22. This link to down load CBSE class 11 Maths Syllabus is given on the conclusion of this article.

New CBSE Syllabus 2021-22 (PDF) for ninth, 10th, eleventh, 12th: CBSE Curriculum 2021-22 applicable for CBSE academic Session 2021-22

CBSE type eleven Maths Syllabus 2021-22:



No. of durations



units and services








Coordinate Geometry








Mathematical Reasoning




facts and probability








inner assessment



*No chapter/unit-smart weightage. Care to be taken to cowl all the chapters.

Unit-I: units and capabilities

1. units 

sets and their representations, Empty set, Finite and limitless units, Equal sets, Subsets,. Subsets of a collection of real numbers primarily intervals (with notations). vigour set. widely wide-spread set. Venn diagrams. Union and Intersection of units. change of sets. Complement of a collection. residences of Complement.

2. members of the family & capabilities  

Ordered pairs. Cartesian made from sets. number of points within the Cartesian product of two finite units. Cartesian manufactured from the set of reals with itself (upto R x R x R).Definition of relation, pictorial diagrams, area, co-area and latitude of a relation. feature as a special class of relation. Pictorial representation of a function, domain, co-domain and range of a feature. true valued services, area and latitude of those capabilities, consistent, identity, polynomial, rational, modulus, signum, exponential, logarithmic and surest integer services, with their graphs. Sum, difference, product and quotients of services.

three. Trigonometric features  

positive and negative angles. Measuring angles in radians and in levels and conversion from one measure to one other. Definition of trigonometric capabilities with the help of unit circle. truth of the identity sin2x + cos2x = 1, for all x. signals of trigonometric capabilities. area and range of trigonometric capabilities and their graphs. Expressing sin (x±y) and cos (x±y) when it comes to sinx, siny, cosx & cosy and their standard purposes. Deducing identities like the following:

Identities concerning sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x. generic solution of trigonometric equations of the type siny = sina, cosy = cosa and tany = tana.  

Unit-II: Algebra 

1. precept of Mathematical Induction  

manner of the proof by way of induction, motivating the software of the system by means of looking at natural numbers because the least inductive subset of genuine numbers. The principle of mathematical induction and simple purposes. 

2. advanced Numbers and Quadratic Equations  

need for complex numbers, certainly√−1, to be inspired by means of inability to solve some of the quadratic equations. Algebraic  homes  of  advanced  numbers.Argand  airplane  and  polar representation of complicated numbers.remark of simple Theorem of Algebra, solution of quadratic equations (with genuine coefficients) within the advanced number system. rectangular root of a posh quantity.

3. Linear Inequalities  

Linear   inequalities. Algebraic   options  of   linear   inequalities   in   one   variable   and   their representation on the number  line. Graphical  solution  of  linear inequalities  in  two  variables. Graphical formulation of discovering a solution of a system of linear inequalities in two variables. basic precept of counting. Factorial n. (n!) diversifications and combinations, derivation of Formulae for npr and ncr and their connections, simple purposes.

5. Binomial Theorem  

old perspective, commentary and proof of the binomial theorem for nice necessary indices. 

Pascal’s triangle, general and core time period in binomial growth, simple purposes. 

6. Sequence and sequence 

Sequence and collection. Arithmetic development (A. P.). Arithmetic imply (A.M.) Geometric development (G.P.), regular term of a G.P., sum of n terms of a G.P., countless G.P. and its sum, geometric imply (G.M.), relation between A.M. and G.M. Formulae for the following particular


Unit-III: Coordinate Geometry

1. Straight strains

brief bear in mind of two dimensional geometry from earlier courses. shifting of foundation. Slope of a line and angle between two lines. numerous types of equations of a line: parallel to axis, aspect -slope kind, slope-intercept kind, two-point form, intercept form and average form. widespread equation of a line. Equation of household of strains passing through the factor of intersection of two strains. Distance of a point from a line.

2. Conic Sections 

Sections of a cone: circles, ellipse, parabola, hyperbola, a degree, a straight line and a pair of intersecting lines as a degenerate case of a conic part. usual equations and easy houses of parabola, ellipse and hyperbola. common equation of a circle.

3. Introduction to third-dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a degree. Distance between two points and part method.

Unit IV

1. Limits and Derivatives

derivative brought as fee of change both as that of distance function and  geometrically. Intuitive concept of limit. Limits of polynomials and rational features trigonometric, exponential and logarithmic features. Definition of derivative relate it to scope of tangent of the curve, spinoff of sum, difference, product and quotient of capabilities. Derivatives of polynomial and trigonometric functions.

Unit-V: Mathematical Reasoning

1. Mathematical Reasoning

Mathematically appropriate statements. Connecting words/ phrases - consolidating the realizing of "if and only if (crucial and enough) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through variety of examples concerning real life and mathematics. Validating the statements involving the connecting words, difference among contradiction, speak and contrapositive.

Unit-VI: records and probability

1. statistics

Measures of Dispersion: range, imply deviation, variance and typical deviation of ungrouped/grouped records. analysis of frequency distributions with equal skill but diverse variances.

2. probability 

Random  experiments;  outcomes, trial  spaces  (set  representation). movements; prevalence  of activities, ‘no longer’, ‘and’ and ‘or’ events, exhaustive events, jointly unique routine, Axiomatic (set theoretic) chance, connections with different theories of previous courses. probability of an adventure, likelihood of ‘now not’, ‘and’ and ‘or’ routine.

arithmetic query Paper Design type – XI (2021-22)

Time: 3 Hours, Max. Marks: eighty



S. No.



Typology of Questions





Weight age


Remembering: show memory of up to now discovered fabric by recalling statistics, terms, basic concepts, and solutions. 

knowing: display realizing of facts and concepts by organizing, comparing, translating, deciphering, giving descriptions, and stating leading ideas

forty four

fifty five



applying: solve problems to new cases by using applying received abilities, statistics, options and rules in a special approach.






Analysing :

examine and smash counsel into parts by identifying reasons or reasons. Make inferences and locate evidence to aid generalizations



latest and look after opinions by way of making judgments about suggestions, validity of ideas, or nice of labor in keeping with a set of standards.



bring together  information together in a special approach  via  combining points in a new pattern or proposing choice solutions






a hundred

1. No chapter clever weightage. Care to be taken to cowl all the chapters

2. appropriate inner adaptations could be made for producing a lot of templates holding the usual weightage to distinctive kinds of questions and typology of questions the same.


There may be no common choice within the query paper. 

youngsters, 33% internal decisions will be given in all of the sections 

inner assessment:  20 Marks 

Periodic tests ( highest quality 2 out of three exams conducted): 10 Marks 

arithmetic actions: 10 Marks

CBSE Syllabus 2021-22: type eleven mathematics

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