# 11th grade math

## Welcome to 11th grade math!

We are an educational site named ask-math.com and we provide good study stuff. This year is important as since students need to decide about the stream which will lead their career. The class 11th grade math syllabus covers the knowledge about the topics that are included in the mathematics. As we know that there is no limit of the course, and if all study is divided in different streams then definitely the limit of that streams for a particular class according to the capacity of the students is must. Thus, class 11th syllabus is necessary for the students to get to know what the topics are and they have to study in 11th standard so that the base of the 12th standard would be strong. In India. the 12th standard percentage have a lot importance in one's life and the admission in higher classes depends on this percentage and knowledge and the study of 12th standard could affected with the knowledge of the base of 11th grade . So it is very necessary to know the topics involved for 11th. Ask-math.com has organized each and every topics that are included in 11 th grade.**To learn these topics step by step click on the links given at the bottom of this page.**Here is a list of all of the topics students learn in 11th grade math.

**Sets :**The concept of set is basic in all branches of mathematics. It has proved to be of particular importance in the formations of relations and functions.

**Relations and Functions :**In mathematics, we come to across relations such as i) line l is parallel to line m ii) number m is less than number n . In all these we notice that a relation involves pairs of objects in certain order. This section is devoted to the study of relations and functions in mathematics.

**Mathematical induction :**The process of reasoning from general to particular and the other is known as the process of induction. In algebra or in other disciplines of mathematics, there are certain results or statements that are formulated in terms of n , where n is a positive integer. To prove such statements we use a specific technique, is known as the “Principle of Mathematical Induction".

**Logarithms :**It is a specific process that reduces the amount of work involved in multiplying and dividing large numbers.

**Complex Numbers :**Complex number is a number of the form a + ib, where a and b are real numbers and i is the imaginary unit which has the property of i

^{2}= -1

**Linear Inequations :**13x <250 such equations are called linear inequations.The study of inequations is very useful in solving problems in the fields of science, mathematics, statistics, optimization problems, economics,psychology etc.

**Quadratic Equations :**In this section ask-math provides you the quadratic equations with real coefficients but having negative discriminant.

**Sequences and series :**In this section ask-math covers all types of sequences such as arithmetic progression (A.P), Geometric progression (G.P) and harmonic progression.

**Trigonometric functions :**In this section, ask-math provides the circular function and their properties. Such as conversion of angles from radian to degree, signs of trigonometric functions, domain and range of trigonometric functions, sum and difference of angles etc.

**Cartesian system of rectangular co-ordinates :**This section provides you the distance formula, section formula , area of triangle using coordinates , parametric equation of line etc.

**Straight line and family of straight line:**In this section, we shall derive the various forms of the equation of a line including the lines parallel to axes and the oblique ones.

• Sets

**Relations and Functions**

Cartesian product of sets

Domain and range of a function

One-to one function

Onto function

Composite functions

**• Mathematical Induction**

Prove by Mathematical Induction

**• Logarithms**

Evaluating logarithm

Rules of logarithms

Common and natural logarithm

Logarithms change of base

Application of Logarithm

**• Complex Numbers**

Complex Numbers

Addition of complex Numbers

Subtraction of Complex Numbers

Multiplication of complex numbers

Division of complex numbes

Conjugate of complex numbers

Modulus of a complex number

Polar form of complex numbers

Perform operations with complex numbers

**• Linear Inequalities**

Introduction of linear inequalities

Solving linear inequalities algebra

solving one-step equations and inequalities

Graphing linear inequality

Solve two step linear inequalities

System of linear inequalities

Graphing systems of linear inequalities

System linear inequalities word problems

**• Sequences and Series**

Series and Sequences

**• Arithmetic progression**

Introduction of Arithmetic Progression

Common difference in Arithmetic Progression

Find terms of an A.P.

Arithmetic means

Sum of arithmetic progression

Arithmetic sequence properties

Sum of first 'n' natural numbers of an A.P.

Sum of squares of n natural numbers

Arithmetic progression formulae

Arithmetic problems with solutions

**• Geometric Progression**

Introduction of Geometric Progression

General term of Geometric progression

finding the nth term given the common ratio and the first term

nth term from the end of G.P

Find the position of given term in G.P.

Solved sums on geometric progression

Selection of terms in G.P

Sum of n terms of a Geometric Progression

find common ratio when sum of n terms of G.P is given

Sum of an infinite G.P.

Geometric progression formulae

Application of infinite G.P.

Properties of G.P.

Relation between Geometric and arithmetic mean

Geometric progression problems

Sum of special series

**•Quadratic Equations**

Introduction of Quadratic Equations

Roots of quadratic equation

Fundamental theorem of Algebra

Quadratic equations with real coefficients

Quadratic equations with complex coefficients

Quadratic equation cannot have more than two roots

Nature of roots in Quadratic equation

Irrational roots of Quadratic equation

Complex roots of Quadratic equation

**Trigonometry**

**• Measurement of angles**

Measurement of angles

Quadrants and angle

Systems of measurement of angles

Circular system of measurement of angles

Relation between degrees and radians

Relation between Degrees,Radians and Grades

Length of arc

Problems based on S,R and Theta

**• Trigonometric Functions**

Trigonometric ratios or functions

Trigonometric reciprocal relationships

Quotient Trigonometric Identities

Pythagorean Trigonometric Identities

Signs of the Trigonometric ratios

All sin cos tan rule in Trigonometry

Trigonometric functions in different quadrants

Trigonometric ratios of Allied angles

Trigonometric ratios of (−Θ)

Trigonometric ratios of (90 - Θ)

Trigonometric ratios of (90° + θ)

Trigonometric ratios of (180° - θ)

Trigonometric ratios of (180° + θ)

Trigonometric ratios of (270° + θ)

Trigonometric ratios of (270° - θ)

Trigonometric ratios of (360° - θ)

Trigonometric ratios of (360° + θ)

Periodic function in Trigonomety

Find the values of trigonometric ratios (sin$(315)^{0}$)

Even and odd function in trigonometry

**• Graphs of Trigonometric Functions**

Graph of a Trigonometric functions

Graph of y = sin x

Graph of y = a sin bx

graph of y= cos x

Sine graph with phase shift y = a sin(bx + c) +d

Cosine graph with phase shift y = a cos (bx + c) +d

•

**Vectors**

Vectors in the plane

Equivalent vectors

Component form of the vector

Vector addition and subtraction

Vector scalar multiplication

Properties of vector

Unit vector

Linear combination of Unit vector

Direction angles

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