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NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry will assist you in understanding the cartesian system and the importance of x-axis and y-axis in a plane. NCERT Solutions for Class 9 Maths Chapter 3 introduces the Cartesian Plane and the different Quadrants, including the concepts of ordinate and abscissa of a given point. By solving the NCERT questions you will learn how to locate points in a plane using vertical and horizontal axis.

There are a total of 6 questions in 3 exercises in NCERT Chapter 3. The questions are situational and relatable to your day to day lives as well. The topics covered in the NCERT Solutions for Chapter 3 include topics like locating the ordinate and abscissa of a given point on y-axis and x-axis, identifying the coordinates of a point on a plane and identifying the Quadrant of a point on a plane.

The NCERT Solutions for Class 9 Maths Chapter 3 employ the latest CBSE guidelines on preparing precise and accurate solutions to all the NCERT exercise questions. The NCERT Solutions provided to you by the maths professionals at Instasolv are to-the-point yet detailed with an aim to address all your possible doubts in this Chapter. Below is a quick summary along with a discussion on the NCERT Solutions for Class 9 Maths Chapter 3.

Summary of NCERT Solutions for Class 9 Maths Chapter 3

Introduction

Any point lying in a plane can be represented with the help of two perpendicular lines. Also, to find the location of a dot (point) on a plane we need some information about it. This is the central idea of the concept of Coordinate Geometry. This idea was developed by a French mathematician, Rene Descartes. 

Cartesian System

  1. Descartes invented the maths of placing two number lines perpendicular to each other on a plane and locating points on the plane by referring to these mutually perpendicular lines. In this Chapter, we have made these lines horizontal and vertical respectively, on the place for ease.
  2. Assume two number lines X’X and Y’Y placed horizontally and vertically respectively. Let these number lines intersect one another at their 0 points.
  3. Therefore, X’X is known as the x-axis and Y’Y is known as the y-axis. The point of intersection of these axes is known as the Origin and is represented by O.
  4. OX and OY are called the positive directions of the x-axis and the y-axis respectively whereas, OX’ and OY’ are called the negative directions of the x-axis and y-axis respectively.
  5. Such a plane is known as the Cartesian Plane or the coordinate plane or the XY-plane. The axis is called Coordinate Axis.

Writing Coordinates of a Point

  1. The x-coordinate of a point is the perpendicular distance of the same, from the y-axis (which is positive along the positive x-axis and negative along the negative x-axis). The x-coordinate is also known as Abscissa.
  2. Similarly, y coordinate of a point is given by its perpendicular distance from the x-axis  (taken positive along the positive y-axis and negative along the negative y-axis). They-coordinate is also known as Ordinate
  3. At Origin O, the distance of the point is 0 from both the axis and hence, its abscissa and ordinate are 0, which makes the coordinates for Origin (0,0)

Quadrants

  1. When a point is in the 1st Quadrant, then the point will be in the form (+,+), as the 1st Quadrant is enclosed by the positive x-axis and positive y-axis.
  2. When the point is in the 2nd Quadrant, then the point will be in the form (-,+), since the Quadrant is enclosed by the negative x-axis and positive y-axis.
  3. If a point is in the 3rd Quadrant, then the point will be in the form (-,-), since the 3rd Quadrant is enclosed by the negative x-axis and the negative y-axis.
  4. If a point is in the 4th Quadrant, then the point will be in the form (+,-), since the 4th Quadrant is enclosed by the positive x-axis and the negative y-axis.

Highlights of Chapters 9 Coordinate Geometry

  • We need a system of Cartesian Plane to locate a point on a plane.
  • The x and y Coordinates are the perpendicular distance of the point from the y-axis and x-axis respectively. 
  • If x y, then the position of (x,y) in the Cartesian Plane is different from the position of (y,x).
  • The coordinates of the Origin are (0,0)

Exercise-wise Discussion of NCERT Solutions for Class 9 Maths Chapter 3

  1. The NCERT Solutions for class 9 questions of Chapter 3 Coordinate Geometry are picked from daily life situations to make Coordinate Geometry an interactive and relatable subject, to bring you out of the boredom of regular bookish exercises. 
  2. For instance, the very first question of the Chapter asks you to describe the position of a Table Lamp. Similarly, the second question is about a Street Plan. 
  3. You will require graph paper to solve the questions in which you need to plot the points on the XY Plane. 
  4. Solving these NCERT Exercises will help you understand all the concepts of the Chapter easily and you will be prepared to tackle all kinds of questions in the CBSE exams related to this Chapter. 

NCERT Solutions for Class 9 Maths Chapter 3 by Instasolv

  1. The NCERT Solutions for Maths Chapter 9 are prepared by our Maths experts including the required graphical representations along with detailed descriptions. 
  2. We have organized the NCERT Solutions exercise-wise so you will have no problems in finding the answer that you are looking for. 
  3. We have curated these Solutions in line with the latest CBSE exam pattern to help you stand out from the rest in your Class. 
  4. These NCERT Solutions will also allow you to be on par with the syllabus of important competitive exams.
  5. The answers to Class 9 Maths NCERT Chapter 3 provided by the subject matter experts of Instasolv are ideal for self-study.