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The main topics that are covered in this chapter are as follows:.3.1 Introduction.3.2 Cartesian System.3.3 Plotting a Point in the Plane if its Coordinates are Given.Coordinate geometry is a fascinating subject that teaches you about the position of an object in a plane. You also get to learn about coordinates, get an idea of Cartesian planes and much more.IntroductionThe chapter begins by reminding the students that they have already learnt the method of locating a point on a number line.

They also have the knowledge of describing the location of a point on the line. It is mentioned here that in many circumstances the position of a point needs to be described with reference to more than just one line. Practical examples are provided to help students understand the matter, like telling the position of a dot on a sheet of paper. From such examples, the necessity of using two lines and specifying the distances of the dot from both is discussed. That is to say, two independent information are necessary to find the exact position of a dot. From the discussions, the conclusion that is arrived at is that the position of any object can be accurately characterized by two perpendicular lines.

It is also mentioned that the great French Mathematician Rene Descartes developed the concepts of Coordinate Geometry in the seventeenth century. Cartesian SystemIt is mentioned that the system developed by Descartes is also known as the Cartesian system in his honour. The students are reminded of the system of marking distances from a fixed point on the number line positively in one direction and with the negative mark in the opposite direction. Kanye west graduation 320 kbps mp3. It is explained that points are marked at equal distances on the number line. Taking 0 as the origin, which the point from which marking starts, each unit distance represents the numbers 1, 2 and so on sequentially.

It is explained that Descartes invented the system of placing two such lines, one horizontal and another vertical, in a perpendicular manner on a plane, and finding locations of points on the plane with reference to these lines.Axes – XX’ and YY’The two perpendicular lines are combined such that they intersect each other at their origins. The horizontal line is known as the x-axis while the vertical one is the y-axis.

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The point of intersection is the origin and is demarcated as O. The concepts of positive and negative axes as well as quadrants are explained. The conventions for writing the coordinates of a point are also explained.You observe that the axes (plural of the word ‘axis’) divide the plane into four parts. These four parts are called the quadrants (one-fourth part), numbered I, II, III and IV anticlockwise from OX (see Fig.3.9). So, the plane consists of the axes and these quadrants. We call the plane, the Cartesian plane, or the coordinate plane, or the XY-plane.

The axes are called the coordinate axes. These are mentioned to be as follows:(i) The perpendicular distance of a point from the y-axis measured along the x-axis is known as the x-coordinate. This coordinate is positive when measured along the positive direction of the x-axis but it is negative along the length of the negative direction of the x-axis. The students are informed that the x-coordinate is also known as the abscissa.(ii) The perpendicular distance of a point from the x-axis measured along the y-axis is taken as the y-coordinate of the point.

The coordinate is positive down the positive direction of the y-axis and it is negative in the negative direction of the y-axis. The students are also informed that the y-coordinate is referred to as the ordinate.(iii) The students are given the information that at the time of stating the coordinates of a point first the x-coordinate is mentioned and then the y-coordinate. It is also mentioned that the coordinates are placed in brackets.Plotting a Point in the Plane if its Coordinates are GivenIn this segment of Chapter 3 Class 9 Maths, the students are taught the process of placing a point in its correct location when the coordinates are provided. It is mentioned that this process is known as “plotting the point”. Plotting locations in both positive and negative quadrants are discussed.Hence We cover These Exercises:A. Coordinate Geometry Class 9 -B. Coordinate Geometry Class 9 -C.

Coordinate Geometry Class 9 -You can also download and make use of it in your preparation. About VedantuVedantu is India’s leading portal in online education. It has confidence in the personal potential hidden in each pupil and believes in fostering that possibility with adequate supervision and assistance. Meticulously detailed steps are incorporated in the answer to every problem so that the student can grasp the solution easily. The coordinate geometry Class 9 solutions have been designed as per the exam pattern prescribed by the CBSE Board. Experts in the subject matter have compiled the solutions. All the doubts in the students’ minds about Coordinate Geometry will be clarified by solving the exercise questions from the textbook and referring to these solution manuals.

Every year almost 2 to 3 questions tend to appear in the exam from the Class 9 Maths Chapter 3, assigned with marks between 1 and 3. The help to inculcate a positive and inquisitive attitude about learning among the students. At Vedantu, the mentors trust that with the proper guidance each student can achieve brilliance in their exam results.

With this aim, Vedantu presents the most exceptional study materials in free pdf formats. The faculty members have experience of many years and in-depth knowledge in their fields. Utilizing their expertise they set up the comprehensive NCERT Solutions that help students in securing excellent marks in their examinations. Apart from Coordinate Geometry Class 9 NCERT Solutions Vedantu also presents a student-friendly app where the learners can choose one-on-one tutoring or attempt mock tests and even find solutions to previous years’ question papers. With Vedantu by your side, you can face all your exams confidently. Get Vedantu, get liberated from exam-related worries and become the topper easily.