Intersection of sets Definition: The ‘Intersection of two sets’ A and B is the set of all elements, which belong to both A and B. or simply, The ‘Intersection of two sets’ A and B is the set of all elements, which are common in both A and B. Symbol ‘∩’ is used to denoted the Intersection of two sets […]
Read More →Congruent Figures In our daily life we see many congruent objects like as, (i) Two 2 Rupees, 5 Rupees, or 10 Rupees coins. (ii) Two text books of mathematics of same class. Two figures or objects are called congruent, when one object cover the other completely and exactly. This means that two books or coins […]
Read More →Geometry practice on circle Here, we will practiced and discussed the questions on circle. Fill in the blanks. (1) The common point of a tangent and the circle is called …….. (2) A circle may have …….. parallel tangents. (3) A tangent to a circle intersects it in …….. point. (4) A line intersecting a […]
Read More →Rhombus – Definition – Properties Definition: A rhombus is a quadrilateral (closed shape, plane figure) with four straight sides that are equal length also opposite sides are parallel and opposite angles are equal. A rhombuses is a type of parallelogram. All rhombuses are parallelograms, but not all parallelograms are rhombuses. All squares are rhombuses, but not all […]
Read More →Arc – Geometry In mathematics the word arc also used for some other curved shapes like an ellipse but mostly used for a circle. Definition: An arc is a portion of the circumference of a circle. It is also known as circular arc. In above figure AB […]
Read More →We use many objects in our daily life, which are round in shape, such as wheels of a vehicle, sun, moon, a dinner plate, button of shirts etc. These are real examples of a circle. Let’s study about circle and it’s parts. Definition: 1. Circle A circle is a collection of […]
Read More →Problems and Solutions Percentage wise distribution of players who play four different games are given in below pie graph and total number of players are 1200. Example1: What is the total number of players who play cricket and rugby? Solution: Total number of players are 1200, Percentage of players who play cricket = 12% Percentage of players who play rugby […]
Read More →Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB Both angles are 900. To prove: AC = CB (C is the mid point of chord AB) […]
Read More →The tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A circle with center O, and a tangent XY to the circle at a point P. Prove: OP ⟂ XY Proof : Let Q be any point on XY other than P and join OQ. The […]
Read More →Universal Set In this lesson, we will learn what is a universal set and representation of universal set in venn diagrams. Definition: The set that contain all the elements of a given collection, and therefore all sets are subset of the Universal Set is known as the Universal Set. Symbol: Universal Set is represented by symbol “U”. […]
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