MATH TERMS STARTING WITH E

e :

It is an important mathematical constant approximately equal to 2.71828. Other names are Euler's number or Euler's constant after the famous mathematician Leonhard Euler. Some times it is also known as Napier's constant. It is denoted in limit form as    

Eccentricity :

In math, eccentricity is a parameter associated with conic section, that is how much the conic section deviates from being a circle. Eccentricity is denoted by 'e' or 'ε'.

  • The eccentricity of a circle is 0.
  • The eccentricity of ellipse is 0 < e < 1.
  • The eccentricity of parabola is 1.
  • The eccentricity of hyperbola is greater than 1.

Edge :

A line that connects two vertices of a polygon. In the shape cube we have 12 edges.

Element :

A member or constituent of a set. For example 'a' is an element of the set {a, b, c, d}

Ellipse :

In conic section an ellipse is a smooth closed curve which is symmetric about its horizontal and vertical axes.

End point :

The point at which a line or a ray terminates or ends.

Equation of tangent :

A tangent to a circle is a straight line which intersects (touches) the circle exactly one point. We can draw only two tangents to a circle from the point outside to a circle.

To get the equation of a tangent at(x1, y1) we have to replace x2  by xx1,  y2 by yy1 , x as (x + x1)/2 and y as (y + y1)/2 in the equation of a circle.

Equation of the straight line :

A linear equation or an equation of the first degree in x and y represents a straight line.The equation of a straight line is satisfied by the co-ordinates of every point lying on the straight line and not by any other point outside the straight line. 

(i)  Slope intercept form : 

y  =  m x + b

Here m = slope and b = y-intercept

(ii) Two point form :

(y - y1)/(y2 - y1)  =  (x - x1)/(x2 - x1)

Here (x1, y1) and (x2, y2) are the points on the line.

(iii)  Point Slope form:

(y - y1)  =  m (x - x1)

Here m  =  slope and (x1, y1) are the given point on the line.

(iv)  Intercept form :

(x/a) + (y/b)  =  1

Here a = x-intercept and b = y-intercept

Equation :

An equation is a condition on variable.

And also it is an algebraic expression in which each term is a constant or with a product of a variable.

Equation of circle :

There are three ways to find equation of any circle

(i)  Equation of the circle when the center at origin and radius as r.

x2 + y2  =  r2

(ii)  Equation of the circle when the center at (h, k) and radius as r.

(x - h)2 + (y - k)2  =  r2

(iii) Equation of the circle if the end points of a diameter are given

(x - x1)(x2 - x1) + (y - y1)(y - y2)  =  0

Equilateral triangle :

A shape which is covered by three equal sides is called Equilateral triangle.

Exponent :

Exponent of a number shows you how many times the number is to be used in a multiplication.

For example 2 x 2 x 2 x 2 x 2 can be written as 2⁵, we read it as “Two raised to the power 5” or fifth power of two, or we can say simply 2 to the power five.

Equal sets :

Two sets A and B are said to be equal if they have same elements. That is every element in A must be the element of B and every element of B must be the element of A.

For example

  •           A  =  Set of vowels.
  •           B  =  {a, e, i, o, u}.
  • here both sets are having the same elements. So A and B are equal sets. That is A  =  B.

    Equal sets :

    Two sets A and B are said to be equivalent if they have the same cardinal number. That is, the number of elements in both A and B should be the same. The symbol to denote two equivalent sets is '↔'.

    For example

    • A  =  Set of all colors in pencil box.
    • B  =  Set of all days in week.
    • Here n(A)  =  7 and n(B)  =  7, so both A and B are equivalent sets. That is, A↔B.

      These are the types in types of set.

      Empty set :

      A set which contains no element is called as empty set or null set. It is also called as void set or vacuous set. Empty set is denoted by the Greek symbol φ, which is read as 'phi'. In Roster form it is denoted by { }.

      Equivalent fractions :

      Equivalent fractions are fractions that represent the same value or same part of an object.

      Consider the below fractions.

      1/2, 2/4, 3/6, 4/8, 5/10

      Each fraction represent same value 1/2. So these are equivalent to each other.

      Euler's Theorem :

      If f(x,y) is a homogeneous function of degree n,then

      x (∂f/∂x) + y(∂f/∂y) = n f

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ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem

MENSURATION

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem

ANALYTICAL GEOMETRY

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

Area of quadrilateral

Parabola

CALCULATORS

Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator

MATH FOR KIDS

Missing addend 

Double facts 

Doubles word problems

LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

Converting customary units

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6