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Geometry Chapter 7 Answers

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    Chapter 15 - Probability Coordinate Geometry Coordinate Geometry is the branch of Mathematics that helps us exactly locate a given point with the help of an ordered pair of numbers. Coordinate geometry is also known as Cartesian Geometry. It helps you find the distance between two points whose coordinates are given. You can also find the coordinates of the point which divides the line segment joining two given points in the given ratio. Also you will learn how to find the area of a triangle in terms of the coordinate of its vertices.

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    The five sections are introduction to coordinate geometry, formula to calculate distance between two pints, finding the coordinate of the point dividing the line in a particular ratio called section formula and finding the area of triangle in the form of coordinates of their vertices. It helps you to find the distance between any two points given on a plane. Exercise 7. Section Formula deals with finding the coordinates of a point dividing the line in the particular ratio. What is Coordinate Geometry We have studied number lines to mark any point. Descartes invented the idea of placing two perpendicular lines to each other on a plane, and locating points on the lines of the plane. The perpendicular lines may be in any direction but usually one line is horizontal and the other vertical.

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    Coordinate Geometry is the branch of mathematics that helps us to exactly locate a given point with the help of an ordered pair of numbers. Coordinate geometry is the combination of geometry and algebra to solve the problems. Coordinate geometry is also said to be the study of graphs. Graphs are visual representations of our data. It can be in different forms like bar graphs, histograms, line graphs, etc. Terms Related to Coordinate Geometry While studying coordinate geometry the students must be aware of some important terms related to coordinate geometry they are well explained in this chapter. From this figure, let us understand some important terms used in the coordinate formula of geometry. Origin The point of intersection of the axes is called the origin; it is O. Abscissa The distance of any point on the plane from the Y-axis is called the abscissa.

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    Ordinate The distance of any point on the plane from the X-axis is said to be ordinate. Coordinate of the Origin It has zero distance from both the axes. Therefore the coordinates of the origin are 0, 0. Quadrant The axes divide the plane into four parts. These four parts are said to be quadrants. The plane is called the coordinate plane or the XY-plane and the axes are called the coordinate axes. In the first quadrant, both the coordinates are positive. In the second quadrant, the y-coordinate is positive and x-coordinate is negative. In the third quadrant, both the coordinates are negative. In the fourth quadrant, the y-coordinate is negative and the x-coordinate is positive. Distance Formula In chapter 7 Maths Class 10 we learn about distance formulas for finding distance between two points. Finding the distance between the two points by using formula when the two coordinates of the points are given.

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    This formula will also be used in finding the area of quadrilaterals. Chapter 7 maths Class 10 provides you the list of all formulas of coordinate geometry to solve all the related problems.

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History 1301 Test Answers

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