Sets and Venn Diagrams The relationship between sets can be represented by diagrams is known as Venn Diagrams. In venn diagrams,  1. A rectangle is represent a universal set. 2. Circles or ovals are represent other subsets of the universal set. Example: The set of Natural numbers is a subset of set of Whole numbers, which […]

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Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]

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Addition of Decimal numbers 1. John bought 5kg 70g of grapes, 3kg 50g apple and 4kg 200g of mangoes. Find the total weight of all the fruits he bought? Solution:                1000g = 1kg                               70g = 1/1000 x 70/1                                 […]

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        The Pythagoras Theorem A long time over 2000 years ago, a Greek mathematician named Pythagoras discovered an amazing and interesting property about Right triangles, The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.  This property now called Pythagoras […]

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Triangle – Definition and Properties The origin of term “Triangle” from latin word tri (“Three”) and angulus means (“angles”). A “Triangle” is a simple closed curve or a three sided polygon. A triangle has three angles and three sides and three vertices. It is one of the basic shape in geometry.   In Euclidean geometry any non-collinear, three points, determine a unique triangle.  The triangle […]

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What is an Acute Triangle: Definition, Formula and Properties In geometry, a triangle is a polygon with three sides, three vertices and three interior angles. In other words a triangle is a closed two dimensional plane figure with three sides and three angles. Triangles are classified on the basis of their sides and angles. There […]

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Variables and Algebraic Expressions Definition: Variable Variables are symbol or letters that used to represent for unknown numbers or values. simply a single letter, that represents a number called the value of the variable. Example: The letters a, b, c, x, y, z, m, p, q are most commonly used for variables. In algebra the […]

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Supplementary and Complementary Angels To understand supplementary and complementary angles, first we need to understand the adjacent angles.                          Adjacent angle Two angles that have a common vertex and a common side but not overlap, are known as adjacent angles.    Complementary Angles When the total of […]

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Arithmetic Mean  Definition: The sum of the numerical values of each and every observation, that is divided by the total number of observations is equal to “Arithmetic Mean”.  Arithmetic Mean is also called average or mean. The Arithmetic Mean or mean or average is defined as,  Symbol:             X  = (𝚺xi)/n X = Mean […]

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