Cartesian Coordinate System  Cartesian Coordinate system developed in seventeenth century by Rene Descartes the great French philosopher and mathematician. Cartesian Coordinate system, also called rectangular Coordinate system and used to position of points on a two dimensional or three dimensional plane.  Let’s briefly learn about Cartesian Coordinate system.           Cartesian Coordinate plane The plane is called Cartesian plane […]

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 Theorem : In a parallelogram, opposite angles are equal.  Given: A parallelogram ABCD,  opposite sides of parallelogram are                         side AB and side DC                         side AD and side BC. To prove: Opposite angles of parallelogram are equal. […]

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 Theorem – Alternate Interior Angles are Equal  If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Each pair of alternate interior angles are equal. i.e. ∠BQR = ∠CRQ and ∠AQR = ∠QRD […]

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Roman Numerals 1 to 100 and 100 to 1000 An ancient system of writing numbers used by Romans, is called Roman Numerals.  The symbol of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 in roman numerals are,               Number               Roman Numerals       […]

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History of Coordinate Geometry The Cartesian system or the rectangular coordinate system was invented in seventeenth century by Rene Descartes, the great French philosopher and mathematician. The coordinate system is also called the Cartesian system. Geometry was well developed to describe the dimension of an object, but it does not describe the position of an object. So, to […]

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Odd numbers Definition: If any integer that can not divide exactly by 2, is an odd number. Simply, If we divide any integer by 2, and remainder is one, we get an odd number. The last digit of odd numbers is 1, 3, 5, 7, 9, 11… Example: 11, 23, 35, 47, 69, all are odd numbers. […]

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Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40,  n(X) = 22, and   n(Y) = 30, n(X∩Y)= ? By using the formula  n(X∪Y) […]

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Introduction Coordinate Geometry A Coordinate Geometry is a branch of geometry in which geometry is studied with the help of Algebra. In Coordinate Geometry we study the position of points on the plane is define, using an ordered pairs of numbers also known as coordinates. Coordinate Geometry is of two types 1. Two dimensional or Plane Coordinate Geometry […]

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