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    Analytic Geometry and Unit

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    Structured program list. First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units. Second unit: numbering systems. In this unit‚ we address numbering systems of different cultures until the one’s used current day‚ highlighting the importance of ten based numbering system (decimal)‚ which will be developed in depth by tackling its properties through the next unit. Unit Three: The field

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    Analytic Geometry and Ans

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    CET11 Mathematics Question Bank – Straight Lines‚ Pair of Lines & Circles A straight line through the point A  3‚ 4  is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x  3 y  24 Ans: a (b) 3x  4 y  25 (c) x  y  7 (d) 3x  4 y  7  0 Sol: By formula required equation is given by x y   2  4 x  3 y  24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points  3‚ 5 and  9‚3 is (a)

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    Analytic geometry‚ or analytical geometry‚ has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning. In classical mathematics‚ analytic geometry‚ also known as coordinate geometry‚ or Cartesian geometry‚ is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry‚ which treats

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    C OORDINATE GEOMETRY COORDINATE GEOMETRY 155 7 7.1 Introduction In Class IX‚ you have studied that to locate the position of a point on a plane‚ we require a pair of coordinate axes. The distance of a point from the y-axis is called its x-coordinate‚ or abscissa. The distance of a point from the x-axis is called its y-coordinate‚ or ordinate. The coordinates of a point on the x-axis are of the form (x‚ 0)‚ and of a point on the y-axis are of the form (0‚ y). Here is a play for you. Draw a set

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    Coordinate geometry The Basics: Find the distance between two points using Pythagoras’ theorem. The midpoint is the average (mean) of the coordinates. The gradient =  Parallel lines have the same gradient. The gradients of perpendicular lines have a product of -1. Straight Lines: Equation of a straight line is y = mx + c‚ where m = gradient‚ c = y-intercept. The equation of a line‚ if we know one point and the gradient is found using: (y - y1) = m(x - x1) (If given two points‚ find the

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    Question:An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is 625y^2 - 400x^2=250‚000‚ where x and y are in yards. How far apart are the houses at their closeset point? Answers:625y^2 - 400x^2=250‚000 y^2 / 20^2 - x^2 / 25^2 = 1 The closest two points on separate branches are the vertices‚ and their separation is 2 * 20 = 40yd. I find the question a little confusing‚ though. Question:LORAN (long distance radio navigation)

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    Robot Geometry

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    robot kinematics‚ require a unified methodology to identify the variables of a robot’s or manipulator’s joints and links. Co-ordinate Frames Robotic kinematics depends on the use of right handed cartesian frames of reference. Manipulator Geometry A manipulator consists of two types of joints‚ connected by a link. Link A link is a solid mechanical structure which connects two joints. The main purpose of a link is to maintain a fixed relationship between the joints at its ends. The

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    Timeline of Geometry

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    TIMELINE OF GEOMETRY It is believed that geometry first came to being when and Egyptian Pharaoh wanted to tax farmers who raised crops near the Nile River. To do that the pharaoh’s agents had to measure the amount of land that was being used. 1. 2900 BC – The first pyramid was constructed. The knowledge of geometry was important due to the fact it consisted a square base and triangular faces. 2. 2000 BC- It was the earliest record of calculating the area of a triangle‚ however there is

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    Applicatios of geometry

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    Geometry was throughly organized in about 300 B.C‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original book of his ownand arranged 465 propositions into 13 books called Elements. Geometry is the mathematics of space and shape‚ which is the basis of all things that exist. Understanding geometry is necessary step by understanding how the things in our world exist. The applications of geometry in real life are not always evident to teenagers‚ but the reality is

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    Geometry Rationale

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    Geometry Rationale Geometry is Greek for geos‚ which means Earth‚ and metron meaning measure. It can conceivably lay claim to being the oldest branch of mathematics outside arithmetic‚ and humanity has probably used geometrical techniques since before the dawn of recorded history. Initially‚ as with the Egyptians‚ geometry originated from practical necessity and the need to measure land. Geometry today is the science of observing and measuring shapes‚ surfaces‚ angles‚ lines and the relationships

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    Importance of Geometry

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    Importance People should learn geometry because now of days geometry is the one of the most practical section of mathematics; it provides useful information for many jobs like construction engineering. When making the different shapes for construction engineering you need to make sure that they are accurate and also scaled and by learning geometry you can do just that‚ also many other engineering jobs require you to draw geometric figures by hand. If you do happen to have a job that requires drawing

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    Geometry in Real Life

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    need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project‚ students will discover situations in daily life where geometrical concepts can be used effectively. In particular we find situations where the properties of similar triangles are useful and how to find height and distance of any object with the help of geometry and trigonometry. Objective

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    Geometry Portfolio

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    Period 7 Jack Whyte Reflection This year‚ both as a student and as a person‚ I learned a tremendous amount. For instance‚ I learned that in England‚ its spelled “grey”‚ but in America its spelled “gray”. That pretty much was the coolest and most useful thing I have heard in a long time‚ let alone in the past 10 months. But I am not in a position today to discuss this‚ and thus I will be detailing everything else I have learned that has fallen short. Scholastically‚ I’ve grown to appreciate

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    Geometry Uses

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    Geometry has many uses. It is used whenever we ask questions about the size‚ shape‚ volume‚ or position of an object Geometry is the foundation of physical mathematics present around us. A room‚ a car‚ anything with physical constraints is geometrically formed. Geometry allows us to accurately calculate physical spaces and we can apply this to the convenience of mankind. . The geometry is heavily used in drawings‚ carpeting‚ sewing‚ architecture‚ art‚ mathematics‚ measurements‚ sculptures etc.

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    Geometry and Sin

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    1 (a) Show that = tan θ. (b) Hence find the value of cot in the form a + ‚ where a‚ b . 2 If x satisfies the equation ‚ show that 11 tan x = a + b‚ where a‚ b +. 3 The graph below shows y = a cos (bx) + c. Find the value of a‚ the value of b and the value of c. 4 The diagram below shows two concentric circles with centre O and radii 2 cm and

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    Decision Making DCSN 300 Competing on Analytics by Thomas H. Davenport Analytics is the ability to collect and analyze data through a systematic approach with the objective to make the best decisions in a business. Due to its passed proven capacities and its huge potential to make a difference‚ Analytics has become much more than a tool: it is a “strategic weapon” in today’s Business context. Is Analytics a key element to success in Business today? Analytics is a multi-faceted and multi-disciplinary

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    Geometry in Daily Life

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    Geometry in Everyday Life Geometry in everyday life Geometry was thoroughly organized in about 300bc‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books‚ called Elements.  Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry‚ which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions

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    Why Geometry is Important

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    Geometry is important for many reasons. It is used in almost all bases of life‚ including shopping‚ driving‚ work‚ and especially school. It is used most all the time too‚ not just every now and then‚ more like all the time. Geometry is used while shopping at the store. You use it to pick out an item that is not dented. Geometry is used to tell whether a fruit or vegetable is rotten‚ or out of shape. Knowing geometry‚ you can pick out the most plump and nutritious items to eat. When you choose a

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    Analytics competitor

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    Introduction Analytics competitors are define as strategic technique used to evaluate outside competitors. The analysis seeks to identify weaknesses and strengths that a company’s competitors may have‚ and then use that information to improve efforts within the company. An effective analysis will first obtain important information from competitors and then based on this information predict how the competitor will react under certain circumstances (http://www.businessdictionary.com) All these

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    NTRODUCTION: Geometry is used to know about all kinds of shapes and their properties in our daily life problems. Plane geometry - It is about all kinds of two dimensional shapes such as lines‚ circles and triangles. Solid geometry - It is about all kinds of three dimensional shapes like polygons‚ prisms‚ pyramids‚ sphere‚ cylinder. The word Geometry comes from Greek which means earth and metron. Geometry used in variousobjects such as surveying‚ astronomy‚ navigation and building

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