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# NCERT Exemplar Problem for Class 11 Maths

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## Class 11 Maths NCERT Exemplar Chapter wise Solutions - Free PDF Download

We know Maths is difficult subject for some students and some love to do it. NCERT Exemplar are very important for your exam. It can help you practice good quality questions and prepare well for board exams. CBSE recommends NCERT exemplar problem books and most of the questions in CBSE exam are asked from NCERT text books. You can download NCERT Exemplar for Class 11 Mathematics with solutions in myCBSEguide website and mobile app for free.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - 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 Sets.

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Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - 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 (upto 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 quotient of functions.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - 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 trignometric functions and their graphs. Expressing sin and cos in terms of sinx, siny, cosx & cosy and their simple applications.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Principle of Mathematical Induction Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Complex Numbers and Quadratic Equations Need for complex numbers, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers.Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. Square root of a complex number.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - Linear Inequalities Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical representation of linear inequalities in two variables.Graphical method of finding a solution of system of linear inequalities in two variables.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - Permutations and Combinations Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation and their connections, simple applications.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics 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.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Sequences 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 first nterms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Straight Lines Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slopeintercept form, two-point form, intercept form and normal form. General equation of a line.Equation of family of lines passing through the point of intersection of two lines.Distance of a point from a line.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - Conic Sections Sections of a cone: circle, 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.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - Introduction to 3D Geometry Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Limits and Term 2 - Derivatives Derivative introduced as rate of change both as that of distance function and geometrically. Intutive idea of limit.Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Mathematical Reasoning Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "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.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 1 - Statistics Measures of dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

Download NCERT Exemplar Solutions for CBSE Class 11 Mathematics Term 2 - Probability Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, 'not', 'and' and 'or' events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories studied in earlier classes. Probability of an event, probability of 'not', 'and' and 'or' events.

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## NCERT Exemplar Problems & Solutions

NCERT exemplar text books are available in NCERT official website for free download. To download sample paper for class 11 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through the best app for CBSE students and myCBSEguide website.

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