Sets and their representations, empty sets, finite and infinite sets, equal sets, subsets, subsets of a set of real numbers, especially intervals (with notations), universal set, venn diagrams, union and Intersection of sets, difference of sets. Complement of a set, properties of complement.
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, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of 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.
Need for complex numbers, especially -1 to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane.
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 a system of linear inequalities in two variables.
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formula for nPr and nCr and their connections, simple applications.
Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
Brief recall of two dimensional geometry from earlier classes. Slope of a line and 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, Distance of a point from a line.
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.
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive 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.
Unit-V Statistics and Probability
Occurrence of events, ‘not’, and ‘or’ events, exhaustive events and mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes.
Types of Questions from the CBSE Syllabus for Class 11 Maths 2023-2024
Some adjustments were made to the CBSE Class 11 Maths Syllabus 2023-24. This was done because of the Covid 19 pandemic situation.
- Usually, there will be a range of questions according to the CBSE Class 11 Maths Syllabus.
- There will also be a set of memory questions. These questions will examine the students’ understanding of fundamental concepts, their ability to recall things that were taught previously, as well as their memory.
- There will be questions that will be based on the knowledge of the subject. There will be 55% of the questions.
- Some questions are given on the basis of the application of a specific notion or theorem. A quarter of the questions may be application-based.
20% of the questions will be based on the ability to analyse a situation.
