In our daily life, we buy so many things of our importance and we sell so many things also according to need and various circumstances. In such cases, the person who buys an article (product/thing) is called buyer or …
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Let us start with a daily life example where we compare different quantities, suppose the height of two students named Rahim and Karim, and we conclude Rahim is taller than Karim or Kaarim is shorter than Rahim or …
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Whenever we add a number to itself multiple times, we call it addition, but when it is multiplication, then it is called exponentiation and the product is called power of the number. So, a mathematical operation where two num…
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Algebraic Properties of Statements Algebraic operations are performed among the statements also, but here the operations are the connectives. Let \(p, q\) and \(r\) be three statements. Let \(T\) denotes some true and \(F\)…
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Relations in Sets Introduction to Relation Domain and Range Null Relation and Universal Relation A relation in two sets may be defined as the collection (set) of ordered pairs. A…
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Propositional Logic | Advanced Mathematics | Class 9 To understand the meaning and have a clear picture about propositional logic we first have to know what a logic is. Logic is the science of reasoning. It helps us…
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For the sets A, B, C and D, we have- Property 1: \(\ A\times(B\cup C)=(A\times B)\cup (A\times C) \) Proof: Let \(\ (x,y)\in A\times (B\cup C)\) \(\ \Leftrightarrow x\in A, y\in (B\cup C) \) \(\ \Leftrightarrow …
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Basics of 2D Geometry As you've noticed in the title of the article, we'll deal only with 2-dimensional(plane) geometry in this article. Before moving ahead with what dimension actually is, its types a…
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