Ganitagya Gyanam

Surface area and volume- An important topic of NCERT class 10th class but students feel this chapter is very difficult because they are not relating this concept in their daily routine. In our day-to-day life, we come across a number of solids made up of combinations of two or more of the basic solids.  You may have seen an object a small test tube funnel. You would have used one in your science laboratory. This funnel is also a combination of a cylinder and a cone. Similarly, you may have seen some big and beautiful resorts made up of a combination of solids like a cylinder and hemisphere. Surface Area of a Combination of Solids: Let us consider the funnel seen above picture. How do we find the surface area of such a solid? We first try to see, if we can break it down into smaller problems, we have earlier solved. We can see that this solid is made up of a cylinder with a cone. It would look like what we have below diagram after we put the pieces all together. If we consider the s...

Relation- Types and Properties of relation. In this article, we will study the types of relation and their properties.  Also, we will study the equivalence relation, partially ordered relation, and closures of relation. Let us start the topic and understand the topic. The only way to learn mathematics is to do mathematics-Paul Halmos   Introduction The concept of the term ‘relation’ in mathematics has been drawn from the meaning of relation in  the  English language, according to which two objects or quantities are related if there is a recognisable connection or link between the two objects or quantities. In this article, we will study the different types of relation, Inverse relation, composition of relations, closure properties of relations, and partition of a set.   Types of Relation In this section, we would like to study different types of relations. We know that a relation in a set P is a subset of P × P . Thus, the ...