Math Blog

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Sep 28, 2014

Word Problems on Straight Lines | Straight Line Intersects the x-axis | Slope

Here we will solve different types of word problems on straight lines. 1. Find the equation of a straight line that has y-intercept 4 and is perpendicular to straight line joining (2, -3) and (4, 2).

Continue reading "Word Problems on Straight Lines | Straight Line Intersects the x-axis | Slope"

Sep 28, 2014

Problems on Straight Lines | Straight Line Perpendicular to the Straight Line

We will learn how to solve different types of problems on straight lines. 1. Find the angle which the straight line perpendicular to the straight line √3x + y = 1, makes with the positive direction

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Sep 26, 2014

Fundamental Concepts of Geometry | Line and Curves | Closed Curves

Geometry is one of the important part of mathematics. 1. Draw a straight path from Sam’s house to the school. 2. Draw a straight path from the factory to the hospital.

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Sep 26, 2014

Points and Line Segment |Two Points in a Curved Surface|Line has Infinite Length

We will discuss here about points and line segment. We know when two lines meet we get a point. When two points on a plane surface are joined, a straight line segment is obtained.

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Sep 25, 2014

General Form into Normal Form | Find the Perpendicular Distance from the Origin

We will learn the transformation of general form into normal form. To reduce the general equation Ax + By + C = 0 into normal form (x cos α + y sin α = p): We have the general equation Ax + By + C = 0

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Sep 25, 2014

Concept of Fractions |Concept of Half|Concept of One Fourth|Concept of Two Third

Concept of fractions will help us to express different fractional parts of a whole. One-half When an article or a collection of objects is divided into two equal parts is called as half of the whole.

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Sep 24, 2014

General Form into Intercept Form | Determine the Intercepts on the Axes

We will learn the transformation of general form into intercept form. To reduce the general equation Ax + By + C = 0 into intercept form (x/A + y/B = 1): We have the general equation Ax + By + C = 0.

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Sep 23, 2014

General Form into Slope-intercept Form | Reduce the General Equation

We will learn the Transformation of general form into slope-intercept form. To reduce the general equation Ax + By + C = 0 into slope-intercept form (y = mx + b): We have the general equation

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Sep 21, 2014

Multiplication Table Games | Math Multiplication Table | Multiplication Games

Multiplication table games are an interesting way for kids to learn math multiplication table. A fun way to practice times table by playing games. First the students need to learn

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Sep 19, 2014

Bisector of the Angle which Contains the Origin | Equation of the Bisector

We will learn how to find the equation of the bisector of the angle which contains the origin. Algorithm to determine whether the origin lines in the obtuse angle or acute angle between the lines

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Sep 19, 2014

Straight Line Formulae | Problems on Straight line in Co-ordinate Geometry

Straight line formulae will help us to solve different types of problems on straight line in co-ordinate geometry. 1. If a straight line makes an angle θ with the positive direction of the axis of x

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Sep 18, 2014

Worksheet on Number in Expanded Form | Expanded Form | Standard Form

Practice the questions given in the worksheet on number in expanded form. Expanded form of a number is to break down each digit and write the number to show how each digit in the number represents

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Sep 17, 2014

Equations of the Bisectors of the Angles between Two Straight Lines

We will learn how to find the co-ordinates of the point of intersection of two lines. Let the equations of two intersecting straight lines be a\(_{1}\) x + b\(_{1}\)y + c\(_{1}\) = 0

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Sep 16, 2014

Worksheet on Basic Pattern | Completing the Series of Numbers | Basic Pattern

Practice the series of numbers given in the worksheet on basic pattern. The questions are based on completing the series of numbers to find the forward numbers and the number which is added to get

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Sep 16, 2014

Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern of Shape

Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features.

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Sep 15, 2014

Distance of a Point from a Straight Line | Length of the Perpendicular

We will learn how to find the perpendicular distance of a point from a straight line. Prove that the length of the perpendicular from a point (x\(_{1}\), y\(_{1}\)) to a line ax + by + c = 0 is

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Sep 15, 2014

Number Words 100 to 1000 | Reading and Writing the Number in Words

We will learn how to read and write the numbers words 100 to 1000. Reading and writing the number in words from 100 to 199: Read one hundred five for 105 Read one hundred eighteen for 118

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Sep 14, 2014

Position of a Point Relative to a Line | Position of a Point and a Straight Line

We will learn how to find the position of a point relative to a line and also the condition for two points to lie on the same or opposite side of a given straight line.

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Sep 13, 2014

Identical Straight Lines | Slope-intercept form of a Line | Identical Lines

When the coefficients of two straight lines are proportional they are called identical straight lines. Let us assume, the straight lines a\(_{1}\) x + b\(_{1}\) y + c\(_{1}\) = 0

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Sep 13, 2014

Condition of Perpendicularity of Two Lines | Two Lines are Perpendicular

We will learn how to find the condition of perpendicularity of two lines. If two lines AB and CD of slopes m1 and m2 are perpendicular, then the angle between the lines θ is of 90°.

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Sep 13, 2014

Equation of a Line Perpendicular to a Line | Slope of a Perpendicular Line

We will learn how to find the equation of a line perpendicular to a line. Prove that the equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + λ = 0, where λ is a constant.

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Sep 11, 2014

Theorem on Properties of Triangle | p/sin P = q/sin Q = r/sin R = 2K

Proof the theorem on properties of triangle p/sin P = q/sin Q = r/sin R = 2K. Proof: Let O be the circum-centre and R the circum-radius of any triangle PQR. Let O be the circum-centre and R

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Sep 11, 2014

Properties of Triangles | Semi-perimeter| Circum-circle|Circum-radius|In-radius

In trigonometry we will discuss about the different properties of triangles. We know any triangle has six parts, the three sides and the three angles are generally called the elements of the triangle.

Continue reading "Properties of Triangles | Semi-perimeter| Circum-circle|Circum-radius|In-radius "

Sep 10, 2014

Tan Theta Equals 0 | General Solution of the Equation tan θ = 0 | tan θ = 0

How to find the general solution of the equation tan θ = 0? Prove that the general solution of tan θ = 0 is θ = nπ, n ∈ Z.

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Sep 10, 2014

Cos Theta Equals 0 | General Solution of the Equation cos θ = 0 | cos θ = 0

How to find the general solution of the equation cos θ = 0? Prove that the general solution of cos θ = 0 is θ = (2n + 1) π/2, n ∈ Z

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Sep 10, 2014

Sin Theta Equals 0 | General Solution of the Equation sin θ = 0 | sin θ = 0

How to find the general solution of the equation sin θ = 0? Prove that the general solution of sin θ = 0 is θ = nπ, n ∈ Z Solution:

Continue reading "Sin Theta Equals 0 | General Solution of the Equation sin θ = 0 | sin θ = 0"

Sep 10, 2014

tan x Minus Square Root of 3 Equals 0 | tan x - √3 = 0 | tan x = √3

We will discuss about the general solution of the equation tan x minus square root of 3 equals 0 (i.e., tan x - √3 = 0) or tan x equals square root of 3 (i.e., tan x = √3).

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Sep 10, 2014

Square Root of 2 cos x Minus 1 Equals 0 | √2 cos x - 1 = 0 | cos x = 1/√2

We will discuss about the general solution of the equation square root of 2 cos x minus 1 equals 0 (i.e., √2 cos x - 1 = 0) or cos x equals 1 by square root of 2 (i.e., cos x = 1/√2).

Continue reading "Square Root of 2 cos x Minus 1 Equals 0 | √2 cos x - 1 = 0 | cos x = 1/√2 "

Sep 10, 2014

2 sin x Minus 1 Equals 0 | 2 sin x - 1 = 0 | sin x = ½ | General Solution

We will discuss about the general solution of the equation 2 sin x minus 1 equals 0 (i.e., 2 sin x - 1 = 0) or sin x equals half (i.e., sin x = ½).

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Sep 10, 2014

Equation of a Straight Line in Normal Form | Find the Equation of the Line

We will learn how to find the equation of a straight line in normal form. The equation of the straight line upon which the length of the perpendicular from the origin is p and this perpendicular

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Sep 10, 2014

Straight Line in Intercept Form | Intercept Form of a Straight Line | Examples

We will learn how to find the equation of a straight line in intercept form. The equation of a line which cuts off intercepts a and b respectively from the x and y axes is x/a + y/b = 1.

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Sep 10, 2014

Equation of a Line Parallel to a Line | Equation of Straight Line | Examples

We will learn how to find the equation of a line parallel to a line. Prove that the equation of a line parallel to a given line ax + by + λ = 0, where λ is a constant. Let, ax + by + c = 0 (b ≠ 0)

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Sep 09, 2014

Worksheet on Place Value and Face Value | Place Value of the Digit | Answers

We will practice the questions given in the worksheet on place value and face value. In place value and face value we need to identify the digit which is highlighted whether in hundreds place

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Sep 09, 2014

Numbers from 100 to 199 | Specialties in the Numerals | Numerals of the Numbers

Learn the numerals of the numbers from 100 to 199.Every number is 1 more than the number just before it. We know the greatest two digit number is ninety nine. It is written as 99.

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Sep 08, 2014

Order with Hundreds, Tens and Ones | Name the Number just Before

We will learn to order with hundreds, tens and ones and discover the pattern to find the missing numerals. The number just before 212 is 211.

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Sep 08, 2014

Worksheet on Counting by Tens | Sequence of Counting Patterns | Answers

Practice the questions given in the worksheet on counting by tens. The questions are related to number patterns where the students need to skip the numbers and count by 10’s.

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Sep 08, 2014

Condition of Parallelism of Lines | Parallelism of Two given Straight Lines

We will learn how to find the condition of parallelism of lines. If two lines of slopes m\(_{1}\) and m\(_{2}\) are parallel, then the angle θ between them is of 90°. Therefore, tan θ = tan 0° = 0

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Sep 07, 2014

Angle between Two Straight Lines | Angle between Two Intersecting Lines

We will learn how to find the angle between two straight lines. The angle θ between the lines having slope m\(_{1}\) and m\(_{2}\) is given by tan θ = ± \(\frac{m_{2} - m_{1}}{1 + m_{1} m_{2}}\)

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Sep 04, 2014

Concurrency of Three Lines | Point of intersection of Two Lines | Examples

We will learn how to find the condition of concurrency of three straight lines. Three straight lines are said to be concurrent if they passes through a point i.e., they meet at a point.

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Sep 03, 2014

How to Tell the Time? | Analogue & Digital clock |Understand the Concept of Time

Learn to tell the time is a great activity to have fun for all the children. How to tell the time? To tell the time we need to see and understand by looking at the clock. Kids can enjoy practicing

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Sep 03, 2014

What is the Time? | Enjoy the Rhyme | The Hands on the Clock

What is the time? Time have two hands. One hand is the longest hand and its called the minute hand and the other hand is the short hand and its called the hour hand.

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Sep 03, 2014

Worksheet on Months and Days | Number of Days for each Month

Practice the questions given in the worksheet on months and days. The questions are related to the names of the months that come before& after and the number of days in each month.

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Sep 02, 2014

Point of Intersection of Two Lines | Coordinates of the Point of Intersection

We will learn how to find the co-ordinates of the point of intersection of two lines. Let the equations of two intersecting straight lines be a\(_{1}\) x + b\(_{1}\)y + c\(_{1}\) = 0 and

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Sep 02, 2014

Point-slope Form | Equation of a Straight Line | Symmetrical Form of a Line

The equation of a line in point-slope form we will learn how to find the equation of the straight line which is inclined at a given angle to the positive direction of x-axis in anticlockwise

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Sep 02, 2014

Slope-intercept Form |Equation of a Straight Line|Slope-intercept Form of a Line

We will learn how to find the slope-intercept form of a line. The equation of a straight line with slope m and making an intercept b on y-axis is y = mx + b Let a line AB intersects the y-axis

Continue reading "Slope-intercept Form |Equation of a Straight Line|Slope-intercept Form of a Line"

Sep 02, 2014

Equation of a Line Parallel to y-axis |Find the Equation of y-axis|Straight Line

We will learn how to find the equation of y-axis and equation of a line parallel to y-axis. Let AB be a straight line parallel to y-axis at a distance a units from it.

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Sep 02, 2014

Equation of a Line Parallel to x-axis |Find the Equation of x-axis|Straight Line

Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same ordinate b. Thus, AB can be considered as the locus of a point

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Sep 02, 2014

Slope of a Line through Two Given Points | Slop of Two Parallel Lines are Equal

How to find the slope of a line through two given points? Let (x\(_{1}\), y\(_{1}\)) and (x\(_{2}\), y\(_{2}\)) be two given cartesian co-ordinates of the point A and B respectively referred

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Sep 02, 2014

Slope of a Straight Line | Angle of Inclination of a Line | Solved Examples

What is slope of a straight line? The tangent value of any trigonometric angle that a straight line makes with the positive direction of the x-axis in anticlockwise direction is called the

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