## Welcome to 11th grade math!

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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 :
Sets
Cartesian product of sets

Functions :
Circular function
Composite functions
Evaluate inverse cosine function
Evaluate inverse sine function
Even and odd function in trigonometry

Graph of functions :
Graph a rational function
Graph of a trigonometric function
Graph of y=sin(bx)
Graph of y = cos(bx)
Graph rational functions with holes
Intercept of rational function
Inverse tangent function
One to one function
Onto function
Periodic function in trigonometry

Mathematical Induction :
Prove by mathematical induction

Logarithm :
Common and natural logarithm
Rules for logarithms
Evaluating logarithm
Logarithms change of base
Application of logarithm

Complex Numbers :
Complex numbers
Subtraction of complex numbers
Complex numbers polar form
Conjugate complex number
Division of complex numbers
Modulus of a complex number
Multiplication of complex numbers
Perform operations with complex numbers

Nature of roots in quadratic equation
Show that quadratic equation cannot have more than two roots

• Linear Inequalities :
Graphing linear inequality
Graphing systems of linear inequalities
Linear inequalities
Solve two step linear inequalities
Solving linear equations inequalities algebra
Solving one step equations and inequalities
System linear inequalities word problems
System of linear inequalities

Sequence and Series
Series and sequences
What is an arithmetic means
Arithmetic progression
Find terms arithmetic progression
Arithmetic sequence properties
Sum of arithmetic progression
Geometric progression
Properties of geometric progression
Find common ratio when sum of n terms of geometric progression is given
General term of geometric progression
Geometric progression problem
Selection of terms in geometric progression
Solved sums on geometric progression
Sum of a geometric progression
Sum of an infinite geometric progression
Relation between Geometric and Arithmetic mean