## Class 11th

###### Personalised Session
• Personal tutor
• Two way interaction
• No risk of travel (Learn at Home)
• Learn at your convenient time
• No hassle for parents to monitor their kids
• Real time doubt clearance
###### Complete Course

Class XI Mathematics

Class Schedule

Monday, Wednesday, Friday
5:00 - 6:00 AM

commence from 11th June 2021

Taken by Vishwajeet Sir

###### Class 11th Course Detail
This course contains full syllabus of class 11 according to NCERT syllabus. A student will able to do all questions related to class 11, JEE Main (engineering entrance) and NDA entrance. It is also benefitted to do any Olympiad based questions. You can join live session or take recorded lectures by expert faculties. You can see demo before joining. You can join live class batch with few students or can schedule one to one class also.

#### Syllabus

1. Sets

• Sets definition, roaster form and set-builder form
• Types of sets, problems based on empty, equal, equivalent, finite and infinite sets
• Subsets, proper subset, power set and interval form of set
• Venn diagram, operation on sets (union, intersection, difference, complement, symmetric difference)
• laws (properties) of sets
• Cardinal numbers, word problems of two and three sets

2. Relations and Functions

• Cartesian product of two or more sets, Operation on cartesian product
• Domain and range and co-domain of a relation
• Functions Definition
• Composition of Functions
• Graph of a function, domain and range of function

3. Trigonometric Functions

• Measurement of angles, relation between degrees and radians
• Relation between radius, length of arc and angle at the centre (Theta = l/r)
• Signs of trigonometric ratios in different quadrant
• Trigonometric ratios of allied angles
• Graph of trigonometric functions
• Trigonometric ratios of compound angles
• Transformation formulae and its application
• Trigonometric ratios of angle 2A in terms of angle A
• Trigonometric ratios of angle 3A in terms of angle A
• Trigonometric ratios of half angle (A/2 in terms of A)
• Trigonometric equations (Principal solution and general solution)
• Properties of triangles (sine and cosine rules)

4. Principle of Mathematical Induction

• PMI introduction, sequence type problems I
• Divisible by and multiple of type problems I
• Inequalities type problems

5. Complex Numbers

• Integral powers of iota, Problems based on iota
• Equality, addition, subtraction, multiplication and division of complex numbers
• Multiplicative inverse of complex numbers, conjugate of a complex number
• Modulus and argument of a complex number
• Polar form of a complex number, Problems based on polar form
• To solve the quadratic equation with imaginary roots
• Square root of a complex number

6. Linear Inequalities

• Inequalities rules
• To solve the linear inequalities in one variable and representation on number line
• To solve the rational linear inequalities
• To solve the linear inequalities in two variables graphically
• Word problems on linear inequalities

7. Permutations and Combinations

• Factorial, Problems based on factorial
• Fundamental principles of multiplication and addition, problems on number formation
• Fundamental principles of multiplication and addition, problems on number formation
• nPr and nCr formulae and application
• Properties of combinations, word problems on combinations
• word problems on combinations
• Problems based on permutations and combinations both and circular permutations

8. Binomial Theorem

• Binomial expansion formula
• Problems based on binomial expansion
• To find the general and particular terms in a binomial expansion
• Problems on general and middle terms
• To find the coefficient for the exponent of the variable, to find the term independent of the variable

9. Sequences and Series

• Introduction of sequences and series, Problems based on sequences
• Introduction of arithmetic progressions, To find the nth term of an AP
• Sum of n terms of an AP
• Arithmetic means
• nth term of a GP
• Sum of n terms of a GP and its application
• Sum of infinite terms of a GP
• Geometric means and problems based on AM and GM
• Arithmetico geometric series and some special series

10. Straight Lines

• Distance formula and section formula
• Slope of a line and its application
• Angle between two lines, condition for perpendicular and parallel lines
• Equation of straight line slope intercept form, slope point form, two point form
• Equation of straight line intercept form, normal form
• Equation of a line reducible to intercept form and normal form
• Distance from a point to the straight line, distance between two parallel lines
• To find the point of intersection of two lines, foot of perpendicular and coordinates of the image
• Locus of a point, Shift of origin

11. Conic Sections

• Introduction of circles, equation of circle
• To find the centre and radius of a circle
• Equation of parabola, focus, directrix, axis and latus rectum of a parabola
• Equation of ellipse, vertices, foci, length of major and minor axes, directrices and length of latus rectum
• Equation of hyperbola, vertices, foci, length of major and minor axes, directrices and length of latus rectum

12. Introduction to Three Dimensional Geometry

• Coordinate axes, coordinate planes, octant, distance formula
• Section formula and its application

13. Limits and Derivatives

• Evaluate limit of algebraic functions by factorization method
• Evaluate limit of algebraic functions by rationalization method
• Formulae for trigonometric functions, Evaluate limit of trigonometric functions tends to zero
• Problems based on limit of trigonometric functions tends to non-zero
• Evaluate limit tend to infinite and limit of logarithmic and exponential functions
• Evaluate limit of signum functions
• Derivative by first principle method (Formula and application)
• Basic differentiation, product rule and quotient rule in differentiation
• Chain rule of differentiation

14. Mathematical Reasoning

• Statements, types of statements, negation, quantifiers
• Contrapositive, converse, method of contradiction

15. Statistics

• Formulae to find mean, median and mode in ungrouped and grouped data