Notes and Study material for Exams
Number system 1. Basic Formulae (a + b)(a – b) = (a2 – b2) (a + b)2 = (a2 + b2 + 2ab) (a – b)2 = (a2 + b2 – 2ab) (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) (a3 + b3) = (a + b)(a2 – ab + b2) (a3 – b3) = (a – b)(a2 + ab + b2) (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac) When a + b + c = 0, then a3 + b3 + c3 = 3abc 2. Types of Numbers I. Natural Numbers Counting numbers 1,2,3,4,5,…1,2,3,4,5,… are called natural numbers … Read more
Addition and subtraction in Vedic Maths Vedic maths Addition Usually if we want to add to numbers say 52 and 66 we would add the unit digits. and if there is any remainder we will bring it to the tens digit and atlast we will add the tens digit. Now we will do … Read more
Marketing MIX Marketing involves a number of activities. To begin with, an organisation may decide on its target group of customers to be served. Once the target group is decided, the product is to be placed in the market by providing the appropriate product, price, distribution and promotional efforts. These are … Read more
Contribution of aryabhatta in mathematics Number notation Numerical values He made a notation system in which digits are denoted with the help of alphabet numerals e.g., 1 = ka, 2 = Kha, etc. Aryabhatta assigned numerical values to the 33 consonants of the Indian alphabet to represent 1,2,3…25,30,40,50,60,70,80,90,100. Notation system He invented a … Read more
Early Temples Early temples were built in the first few centuries of the Common Era, and they represent some of the most important religious architecture of the ancient world. These temples were often dedicated to the worship of gods and goddesses, and they served as important centers of religious activity. Early temples were typically built … Read more
Kushinagar: Where the Buddha Attained Nirvana Kushinagar, a small town nestled in the heart of Uttar Pradesh, India, holds a profound significance in the history of Buddhism. It is here, on the banks of the Hiranyavati River, that the Buddha, Siddhartha Gautama, attained Parinirvana, the final liberation from the cycle of birth and death. This … Read more