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Coordinate geometry: Distance formula, Section Formula, Solved Questions and Worksheets

Coordinate geometry is very useful to precisely locate any particle in two or three dimensional space. We all use Google map.when we have to search for a place. Have you ever thought how Google gets to know the exact location of that place.The answer to this question is very simple google use the coordinates of that place to exactly navigate to that place. Coordinates of a point in Two dimension Cartesian coordinate system is widely used to locate a particle in two dimensional or Three dimensional Plane. In Cartesian coordinate system the coordinate of orgin are defined as (0,0). Origin is always taken as reference point to get the coordinates of any other point in this system. The notation to write the coordinates of a point P is (x,y). Where x is the distance from origin in x direction and y is the distance from origin in y direction. The Cartesian coordinate system is Divided into four parts. i.e four quadrants 1 st Quadrant In the first quadrant, For every point the value of x and ...

Time speed and distance: Concept, examples and worksheets

Time, speed and distance all these terms are dependent on each other but before we walk you through mathematical formulas and calculation let's understand how having knowledge of time speed and distance can be very useful for us to save and manage our time. In practical life,when we have to reach somewhere we increase our normal speed or if we want to reach late we slow up our speed.Also if you are a bit more intelligent you can also calculate the distance you have covered if you know your constant speed and How much time you moved up. Through the things we discussed above you must have got a lead that how time and speed are opposite to each other.i.e when Speed increases time decreases automatically. Now let's how we calculate any one from time,speed and distance if the rest two are known. What is speed : Speed is defined as the distance covered in unit time  16 km/hours speed means 16 km distance is covered in 1 hour. 5 km/min  speed means  5 km distance is covered in 1...

Permutation and combination : Concept, examples and worksheets

Permutation and combination is one of the fundamental topics in maths that comes with a plethora of applications in modern technology and in its evolution.It is widely used in statistics, probability and in the solution of many real world problems.So lets see how the knowledge of it is plays an instrumental role in our daily life. What is Permutation  Whenever we talk of arrangements we can use permutation there Or when you want to know possible arrangements by putting things in a specific order. It would be easier to understand it with simple examples to complex ones. Example 1 : How many meaningful or meaningless 2 letter words can be made from the word "Hi"? Let's count the number of letters: 1. Hi 2. iH 3.HH 4. ii In this word we allowed repetition of  letters so we got 4 words but If it was not allowed we would get 2 words only. 1. Hi 2.iH Example 2 : How many meaningful or meaningless 3 letter words can be formed from the letters of "PIN"  Let's see th...

Simple interest and compund interest : concept ,examples and worksheets

You might have heard the term interest When it comes to banking. But this term is not particular to blanking only , It is widely used whenever one gets profit on the amount we invests. If you have even basic understanding of Profit and Loss chapter,it is going to be easier for you to grasp Simple interest and compund interest. We deposite our money in the Bank for a period of time with a fixed interest rate from bank and when the period ends we get higher amount from the bank in return.So let's start with Simple interest. simple and compound interest What is simple interest  When the interest is calculated only on the principal every time. It is called simple interest.Examples sound better so let's see it with an example. Example 1  : Alex borrows $400 from Ann at a simple interest rate of 5% for 1 years.How much money will alex return to Ann after 1 years. To find it ,let's first calculate 5% of $400  $400 × 5% = $400  × 5/100 = $20 ⇒  Simple interest for 1 yea...

Average: Concept , Questions with examples and worksheet

In this article we are going to discuss about Average,you would often hear this term from people around you. folks generally say average temperature, average marks, average height, average salary etc. Before we get into the definition of Average let's start with an example that will make you familiar with the concept in easier way. Example 1 : Alex brings 5 identical balls of red colour for a total of  £50 ( Ball 1-  £12 , Ball 2 - £8 , Ball 3- £10 , Ball 4 - £17 ,Ball 5 - £13 ) and each of them has different price. when he reaches his home he forgets which ball corresponds to which price. His friend joy comes to him and asks for a ball. Now at what price should Alex sell one ball so that he makes no profit no loss ? The problem above can be very easily solved if you have even a basic idea of Average.  Alex payed £50 for 5 balls.  Average Price for one Ball = £50/5                             ...

Profit and Loss: Concept, Formulas,Solved examples and Worksheets

you might go to market to purchase your stationary or any other items, Sometimes what happens is the vendor sells you the item at a price higher than its maximum retail price , and you end up paying an extra amount of x .if you are facing a loss so the vendor must be getting profit.These are the simple terms what we commonly use while purchasing and selling something. By means of this article you will be building a strong foundation in  Profit & Loss as well as  you will be solving complex problems in a matter of minutes. Let's get started What is Profit and Loss  Before we talk of Profit and Loss let me introduce you  with some new terms that we will be making use of most of the times in this chapter. Cost Price :   It is the amount that we pay to puchase an item or items.If you pay $5 for a pen so it will be its cost price.We say it C.P in short. Selling price :  It is the amount we will be getting when we sell our purchased item.we call it S.P in sh...

What is percentage , concept, worksheets

In this article we are going to cover Percentage. It is one of the intersting topics in maths that we use in our day to day talks or sometimes we are using it to express the probability of occuring something.Even a person who has nothing to do with maths understands it very easily and often use it. This article has brought you a detailed overview to help you develop a strong conceptual grasp of this topic so let's begin. What is Percentage  Etymologically percentage word is made up of two words Per + cent  Per means / (division) Cent means = 100 Percentage  : Anything that is taken out of 100. Let's understand it with some examples. Example 1 : Suppose Ram got 100 kg rice ,  If Ram gives 15% rice to Shyam it means, out of 100 kg rice 15 kg rice is given to Shyam. Example 2 : Angela's monthly salary is Rs. 100 and she expends 10% of her monthly income to charity  Angela expends Rs.10 in charity out of Rs.100. Example 3 : john's car maximum speed is 100 km/h and ...

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