MATHEMATICS

  SET AND TYPES OF SETS SET: A set s well defined collection of objects or numbers or elements. UNION OF SET: The union of two sets is a set containing all elements that are in A or in B. INTERSECTION OF SET: Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. TYPES OF SETS 1. Empty Sets The set, which has no elements, is also called a null set or void set. It is denoted by {}.Below are the two examples of the empty set. Example of empty set: Let set A = {a: a is the number of students studying in Class 6th and Class 7th}. As we all know, a student cannot learn in two classes, therefore set A is an empty set. Another example of an empty set is  set B = {a: 1 < a < 2, a is a natural number}, we know a natural number cannot be a decimal, therefore set B is a null set or empty set. 2. Singleton Sets The set which has just one element is named a singleton set. For example,Set A = { 8 } is a singleton set. 3. Finite and

                       LIST OF RESOURCES IN MATHEMATICS   ALGEBRA 1. KHAN ACADEMY https://www.khanacademy.org/math/algebra 2. CUEMATH https://www.cuemath.com/ 3. BYJU'S https://byjus.com/maths/algebra/ 4. BRITANNICA https://www.britannica.com/ 5. PLATO https://plato.stanford.edu/entries/algebra/ 6. HOW TO LEARN ALGEBRA https://www.wikihow.com/Learn-Algebra?amp=1 7. THE STORY OF MATHEMATICS https://www.storyofmathematics.com/basic-algebra 8. ALGEBRA CALCULATOR https://www.mathpapa.com/algebra-calculator.html 9. QUICKMATH https://quickmath.com/ 10. INTERACTIVE MATHEMATCS https://www.intmath.com/help/problem-solver.php

  CONGRUENT TRIANGLE CONGRUENT FIGURES:                                                             Congruent figures are exactly the same in size and shapes. In other words, shapes are congruent if one fits exactly over the other. EXAMPLE: CONGRUENT TRIANGLE: Determining congruence Sufficient evidence for congruence between two triangles in  Euclidean space  can be shown through the following comparisons: SAS  (side-angle-side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent. SSS  (side-side-side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA  (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. The ASA postulate was contributed by  Thales of Miletus  (Greek). In most systems of axioms, the three criteria – SAS, SSS and ASA – a

  Simple Interest Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year. Simple interest is a quick and easy method to calculate interest on the money, in the simple interest method interest always applies to the original principal amount, with the same  rate  of interest for every time cycle. When we invest our money in any bank, the bank provides us interest on our amount. The interest applied by the banks is of many types one of them is simple interest.   Now, before going deeper into the concept of simple interest, let's first understand what is the meaning of a loan. A loan is an amount that a person borrows from a bank or a financial authority to fulfill their needs. Loan examples include home loans, car loans, education l

    RIGHT CIRCULAR CYLINDER   SURFACE AREA: Surface area is the measurement of all exposed area of a solid objects.   DEFINITION: A right circular cylinder is a solid generated by the revolution of a rectangle about one of its sides as axis. A right circular cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base. It is also called a right cylinder. PARTS OF RIGHT CIRCULAR CYLINDER: Top circular base Curved lateral face  Bottom circular face      

  FACTS OF INDIAN COINS Coins of the Indian rupee (INR) were first minted in 1950. In India, the Finance Ministry is responsible for the minting of coins and printing of one rupee notes. The India Government Mint operates four mints in the country for the production of coins: Currently,we are using One Rupee, Two Rupees, Five Rupees, Ten Rupees and Twenty Rupees Do you think why government of India reducing the size coins? See this one rupee coin. First one was introduced in 2001 and second in 2012.   Every coin has two values One is called the  "Face Value" of the coin and the second value is its "Metallic Value" . Face Value of Coin: It means that "amount written on the coin”. See the above picture, If 1 rupee is written on any coin, it would be called its face value. Metallic value of coin:  It means that, the monetary value of the metal used in the formation of the coin. If a coin is melted and its metal is sold in the market in  2 

  SUDOKU The popular Japanese puzzle game Sudoku is based on the logical placement of numbers. An online game of logic, Sudoku doesn’t require any calculation nor special math skills; all that is needed are brains and concentration. Play Free Sudoku Now! Sudoku is one of the most popular puzzle games of all time. The goal of Sudoku is to fill a 9×9 grid with numbers so that each row, column and 3×3 section contain all of the digits between 1 and 9. As a logic puzzle, Sudoku is also an excellent brain game. If you play  Sudoku daily , you will soon start to see improvements in your concentration and overall brain power. Start a game now. Within no time  Sudoku free puzzles  will be your favorite online game. The goal of Sudoku is to fill in a 9×9 grid with digits so that each column, row, and 3×3 section contain the numbers between 1 to 9. At the beginning of the game, the 9×9 grid will have some of the squares filled in. Your job is to use logic to fill in the missing digits and comple