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Advance Maths Tricks

Circle and its chords

Circle and its chords Circle From Latin: circus – “ring, a round arena” A line forming a closed loop, every point on which is a fixed distance from a center point. Try this Drag an orange dot. The circle can be moved by dragging the center point and resized by dragging …

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Triangle : Congruency and Similarity

Triangle : Congruency and Similarity   Definition: Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other. In the simple case below, the two triangles PQR and LMN are congruent because every corresponding side …

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Triangle : Law Of Sines & Cosines

Triangle : Law Of Sines & Cosines What does ‘solving the triangle’ mean? It means that if we are given some facts about a triangle, we can find some or all of the rest. For example, if we know two sides of a right triangle we can find (or ‘solve …

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Triangle & its various kinds of Centers

Triangle & its various kinds of Centers There are 4 very important ways of viewing the center of a triangle. We can look at its CENTROID, ORTHOCENTER, CIRCUMCENTER, and the INCENTER. The centroid is the first center and is obtained by locating the intersection of the three medians of the …

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Triangle : Its Properties & Its Types

Triangle : Its Properties & Its Its Types A triangle is one of the basic shapes of geometry. It is a polygon with three sides and 3 vertices/corners. Learn about different triangles such as equilateral, isosceles, scalene triangles and their properties. Definition: A triangle is a closed figure made up of …

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Geometry Tricks – 1 [Important Formulae]

Many students asked me to share some geometry tricks. So here is the Part-1 : (1) Be it algebra or geometry, such questions are always there that don’t deserve your rough space. Like the above questions asks you the value of x. Now value of x can’t be negative in …

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Circle : Radius | Diameter | Area | Sector | Segment

Circle : Radius | Diameter | Area | Sector | Segment Radius  (of a circle) From Latin: radius “staff, spoke of a wheel” 1. A line from the center of a circle to a point on the circle. 2. The distance from the center of a circle to a point on …

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Circle & Its Secant

Circle & Its Secant Secant From Latin: secare “to cut” A line that intersects a curve or circle at two points . Try this Drag either orange dot. The blue line will always remain a secant to the circle, except that if the two points coincide, the secant becomes a tangent. The …

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Circle & Its Tangent

Circle & Its Tangent Tangent From Latin: tangere “to touch,” A line that contacts an arc or circle at only one point. Try this Drag the orange dot. The blue line will always remain a tangent to the circle. The blue line in the figure above is called the “tangent to …

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Number System Tricks & Tips

Number System Tricks & Tips Number System and basis arithmetic operations We use decimal number system with base 10. This is the Natural Number System. Any number in this system is created by using ten numerals 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0. The first nine numerals or digits …

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