# NCERT Solutions and Notes for CBSE Class 11 Maths

### CBSE Class 11 Maths Syllabus 2020-21 (Reduced By 30%):Â

New CBSE Class 11 Maths Syllabus 2020-21 (reduced by 30%) is available here for view . view now and prepare for CBSE Class 11 Maths exam 2020-21.

Check CBSE Class 11 Maths Syllabus 2020-21 (reduced by 30%) and view it . The link to view CBSE Syllabus for Class 11 Maths 2020-21 is given at the end of this article. This latest CBSE Maths Syllabus for Class 11 contains complete details about units and chapters to be studied in the academic session 2020-21.

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### CBSE Class 11 Maths Syllabus 2020-21: (Reduced By 30%)

 No. Units No. of Periods Marks I. Sets and Functions 43 23 II. Algebra 41 30 III. Coordinate Geometry 33 10 IV. Calculus 30 07 V. Statistics and Â Probability 21 10 Â Total 168 80 Â Internal Assessment Â 20

*No chapter/unit-wise weightage. CareÂ  to be taken to cover all the chapters.

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Unit-I: Sets and Functions

1. Sets (14) PeriodsÂ

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 Â Intersection of sets.

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2. Relations & FunctionsÂ  (15) Periods

Ordered pairs. Cartesian product Â of sets. Number Â of elements in the Cartesian product Â of two finite sets. Cartesian product Â of the Â set of reals with itself ( R x R only).Definition of relation, pictorial diagrams, domain, co-domain and Â range of a Â relation. Function as a Â special type Â of relation. Pictorial representation of a Â function, domain, co-domain and Â range of a Â function. Real valued functions, domain and Â range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.

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3. Trigonometric Functions (14 Periods)

PositiveÂ and Â negativeÂ angles.Â Â MeasuringÂ anglesÂ inÂ radiansÂ and Â inÂ degreesÂ and Â conversionÂ from one Â measureÂ toÂ another.Â DefinitionÂ ofÂ trigonometricÂ functionsÂ withÂ the Â helpÂ ofÂ unitÂ circle.Â TruthÂ of the Â identityÂ sin2xÂ +Â cos2x = 1, for all x. Signs of trigonometric functions. Domain and Â range of trigonometric functions and Â their graphs. Expressing sin (xÂ±y) and Â cos (xÂ±y) in terms of sinx, siny, cosxÂ &Â cosy andÂ theirÂ simpleÂ applications.Â

DeducingÂ identitiesÂ likeÂ theÂ following:

Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.

Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x andÂ  tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tany = tan a.

Unit-II: Algebra

1. Complex Numbers and Quadratic Equations (10 Periods)

NeedÂ  for complex numbers, especially âˆšâˆ’1, toÂ  be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

2. Linear inequalities (15 Periods)

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables.

3. Permutations and Combinations (8 Periods)

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula forÂ nPr andÂ nCr, simple applications.

4. Sequence and Series (8 Periods)

Sequence Â and Â  Series. Â Arithmetic Â Progression Â (A. Â P.). Â  Arithmetic Â Mean Â  (A.M.) Â Geometric Progression (G.P.), Â general term Â of a G.P., Â sum of n terms of a G.P., Â infinite G.P. Â and Â its sum, geometric mean (G.M.), relation between A.M. and G.M.

Unit-III: Coordinate Geometry

1. Straight Lines (8 Periods)

Brief recall of two dimensional geometry from earlier classes. Slope of a line and Â angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Distance of a point from a line.

2. Conic Sections (15Periods)

Sections of a cone: Â circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

3. Introduction to Three-dimensional Geometry (10 Periods)

Coordinate axes and Â coordinate planes in three Â dimensions. Coordinates of a Â point. Distance between two points and section formula.

Unit-IV: Calculus

1. Limits and Derivatives (30 Periods)

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Â Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions .Definition of derivative relate it Â to Â scope of tangent of the Â curve, Â derivative of sum, difference, product Â and quotient of functions. Derivatives of polynomial and trigonometric functions.

Unit-V: Statistics and Probability

1. Statistics (11 Periods)

Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.

2. Probability (10 Periods)

Random Â experiments; Â outcomes, Â sample Â spaces Â (set representation). Events; Â occurrence Â of events, â€˜notâ€™, â€˜andâ€™ and Â â€˜orâ€™ events, exhaustive events, mutually exclusive events, Probability of an event, probability of â€˜notâ€™, â€˜andâ€™ and Â â€˜orâ€™ events.

Mathematics Question Paper Design Class â€“ XI (2020-21)

Time : 3 Hours,Â  Max. Marks: 80

 S. No. Typology of Questions Total Marks % Weight age Â Â Â 1 Â Remembering: Exhibit memoryÂ  of previously learned material by recalling facts, terms, basic concepts, andÂ  answers. Â Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas Â Â Â Â 44 Â Â Â 55 Â 2 Â Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. Â 20 Â 25 Â  Â Â Â Â Â Â Â 3 Analysing :ExamineÂ  and breakÂ  information intoÂ  parts by identifyingÂ  motives or causes. Make inferences and find evidence to support generalizationsÂ Evaluating:Present andÂ  defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.Â Creating:Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions Â Â Â Â Â Â Â Â 16 Â Â Â Â Â Â Â Â 20 Â Total 80 100

No chapter wise weightage. Care to be taken to cover all the chapters

Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.

Choice(s):

– There will be no overall choice in the question paper.

– However, 33% internal choices will be given in all the sections

However, 33% internal choices will be given in all the sections

 Internal Assessment: 20 Marks Periodic Tests ( Best 2 out of 3 tests conducted) – 10 Marks Mathematics Activities – 10 Marks

Best Reference Books for CBSE Class 11 Maths besides NCERT Textbooks

Mathematics is another important subject of CBSE Class 11 and these books are considered as best books for the preparation of this subject.

Â
 NCERT Exemplar for Class 11 Mathematics â€“ All Chapters Mathematics for Class 11 by R D Sharma (2019 â€“ 2020 Session) NCERT Exemplar Solutions for Class 11 Maths â€“ All Chapters NCERT Solutions for CBSE Class 11 Mathematics: All Chapters