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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"

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

Continue reading "Problems on Straight Lines | Straight Line Perpendicular to the Straight Line "

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.

Continue reading "Fundamental Concepts of Geometry | Line and Curves | Closed Curves"

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.

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

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

Continue reading "General Form into Normal Form | Find the Perpendicular Distance from the Origin"

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.

Continue reading "Concept of Fractions |Concept of Half|Concept of One Fourth|Concept of Two Third"

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.

Continue reading "General Form into Intercept Form | Determine the Intercepts on the Axes"

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

Continue reading "General Form into Slope-intercept Form | Reduce the General Equation"

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

Continue reading "Multiplication Table Games | Math Multiplication Table | Multiplication Games"

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

Continue reading "Bisector of the Angle which Contains the Origin | Equation of the Bisector"

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

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

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

Continue reading "Worksheet on Number in Expanded Form | Expanded Form | Standard Form"

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

Continue reading "Equations of the Bisectors of the Angles between Two Straight Lines"

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

Continue reading "Worksheet on Basic Pattern | Completing the Series of Numbers | Basic Pattern"

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.

Continue reading "Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern of Shape"

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

Continue reading "Distance of a Point from a Straight Line | Length of the Perpendicular "

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

Continue reading "Number Words 100 to 1000 | Reading and Writing the Number in Words"

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.

Continue reading "Position of a Point Relative to a Line | Position of a Point and a Straight Line"

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

Continue reading "Identical Straight Lines | Slope-intercept form of a Line | Identical Lines"

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°.

Continue reading "Condition of Perpendicularity of Two Lines | Two Lines are Perpendicular"

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.

Continue reading "Equation of a Line Perpendicular to a Line | Slope of a Perpendicular Line"

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

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

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 "

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.

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

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

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).

Continue reading "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 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 "

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).

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

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

Continue reading "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 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.

Continue reading "Straight Line in Intercept Form | Intercept Form of a 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)

Continue reading "Equation of a Line Parallel to a Line | Equation of Straight Line | Examples"

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

Continue reading "Worksheet on Place Value and Face Value | Place Value of the Digit | Answers"

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.

Continue reading "Numbers from 100 to 199 | Specialties in the Numerals | Numerals of the Numbers "

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.

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

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.

Continue reading "Worksheet on Counting by Tens | Sequence of Counting Patterns | Answers"

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

Continue reading "Condition of Parallelism of Lines | Parallelism of Two given Straight 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 = ± \(\frac{m_{2} - m_{1}}{1 + m_{1} m_{2}}\)

Continue reading "Angle between Two Straight Lines | Angle between Two Intersecting Lines "

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.

Continue reading "Concurrency of Three Lines | Point of intersection of Two Lines | Examples"

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

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

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.

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

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.

Continue reading "Worksheet on Months and Days | Number of Days for each Month"

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

Continue reading "Point of Intersection of Two Lines | Coordinates of the Point of Intersection"

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

Continue reading "Point-slope Form | Equation of a Straight Line | Symmetrical 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"

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.

Continue reading "Equation of a Line Parallel to y-axis |Find the Equation of y-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

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

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

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

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

Continue reading "Slope of a Straight Line | Angle of Inclination of a Line | Solved Examples "

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