SATHEE: Mathematics 11

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Mathematics 11 Mathematics 11

UNIT I: SETS AND FUNCTIONS

Sets and their representation: Union, intersection, complement of sets, Power set

algebraic properties of sets

Relation

Type of relations, equivalence relations

one-one, into and onto functions, the composition of functions

Trigonometric Functions

Trigonometrical identities and trigonometrical functions

inverse trigonometrical functions

properties of inverse trigonometrical functions

UNIT II: ALGEBRA

Complex numbers and quadratic equations

Introduction to Complex Numbers, Complex numbers as ordered pairs of reals

Representation of complex numbers in the form a + ib and their representation in a plane, modulus

algebra of complex number

Argand diagram,and argument (or amplitude) of a complex number

Quadratic equations in real system and their solutions Relations between roots and co-efficient, nature of roots

the formation of quadratic equations with given roots

Permutations and combinations

The fundamental principle of counting

permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r)

Simple applications

Binomial theorem

Binomial theorem for a positive integral index

general term and middle term

simple applications

Sequence and series

Arithmetic and Geometric progressions,insertion of arithmetic means between two given numbers

geometric means between two given numbers

Relation between A.M and G.M

UNIT-III: COORDINATE GEOMETRY

Straight line

Various forms of equations of a line, angles between two lines

intersection of lines

conditions for concurrence of three lines

the distance of a point from a line

co-ordinate of the centroid

orthocentre

circumcentre of a triangle

Circle, conic sections

A standard form of equations of a circle, the general form of the equation of a circle,its radius

central equation of a circle when the endpoints of a diameter are given

points of intersection of a line and a circle with the centre at the origin

sections of conics, equations of parabola in standard form

equations of ellipse in standard forms

equations of hyperbola in standard forms

Three-Dimensional Geometry

Coordinates of a point in space,directions ratios, and direction cosines, the angle between two intersecting lines, the distance between two points, section formula

Skew lines

the shortest distance between them Skew lines, the shortest distance between them, and its equation. Equations of a line

UNIT-IV: CALCULUS

Limits and derivatives

functions, Graphs of simple functions

algebra of functions, rational

polynomial function

Trigonometric function

inverse function

Limits

Differentiation of the sum, difference, product, and quotient of two functions, Differentiation of trigonometric functions

logarithmic Functions & its Derivatives

Differentiation of Exponential, inverse trigonometric and implicit functions

Differentiation of composite function

derivatives of order up to two

Rate of change of quantities, Applications of derivatives

increasing and decreasing functions

Maxima and minima of functions of one variable

UNIT-V STATISTICS AND PROBABILITY

Statistics

Measures of discretion;calculation of mean, median, mode of grouped and ungrouped data , mean deviation for grouped and ungrouped data

calculation of standard deviation, variance, for grouped and ungrouped data

Probability

Probability of an event

addition theorems of probability

multiplication theorems of probability

Baye’s theorem, probability distribution of a random variate

Engineering Preparation

Mathematics 11th

Mathematics 12th

JEE Previous Year Questions

JEE Tutorial Sessions

Medical Preparation

NEET Previous Year Questions

NEET Tutorial Sessions

NCERT Books & Solutions

NCERT Books for JEE

NCERT Books for NEET

NCERT Solutions for JEE

NCERT Solutions for NEET

NCERT Exemplar for JEE

NCERT Exemplar for NEET

Important Resources

Physics Formulas

Chemistry Formulas

Mathematics Formulas

Other Resources

Student Help Booklet

SPOC Help Booklet

Syllabus

Mentorship

Mentorship for JEE

Mentorship for NEET

NCERT Exemplar Video Solutions

NCERT Exercise Video Solution

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