Coordinate Geometry: Exercise 3

Question 1: In which quadrant or on which axis do each of the points (– 2,  4), (3,  – 1), (– 1,  0), (1,  2) and (– 3,  – 5) lie? Verify your answer by locating them on the Cartesian plane.

Solution: 

(i) The point (-2, 4) lies in II^nd Quadrant in the Cartesian plane as x coordinate is negative and the y coordinate is positive.

(ii) The point (3, -1) lies in IV^th Quadrant in the Cartesian plane as x coordinate is positive and the y coordinate is negative.

(iii) The point (-1, 0) lies on the negative x-axis and the value of x coordinate is negative.

(iv) The point (1, 2) lies in I^st Quadrant in the Cartesian as both x and y are positive.

(v) The point (-3,-5) lies in the III^rd Quadrant in the Cartesian plane as both x and y are negative.

Question 2: Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

Solution:

We have to plot these points A(-2, 8), B(-1, 7), C(0, -1.25), D(1, 3) and E(3, -1).
Steps we have to use to plot these points,

• Let 1 unit represents 1 cm.
• To plot (-2, 8), we take (-2) units on x-axis and (+8) units on y-axis. Now we can plot A (-2, 8), it will lie in quadrant-II.
• To plot (-1, 7), we take (-1) units on x-axis and (+7) units on y-axis. Now we can plot B(-1, 7), it will lie in quadrant-II.
• To plot (0, -1.25), we will proceed (-1.25) units under the x-axis on the y-axis and mark the plot as C(0, -1.25), it will lie on the negative side of y-axis.
• To plot (1, 3), we take (+1) unit on x-axis and (+3) units on y-axis. Now we can plot D(1, 3), it will lie in quadrant-I.
• To plot (3, -1), we take (+3) units on x-axis and (-1) unit on y-axis. Now we can plot the point E(3, -1), it will lie in quadrant-IV.

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry is developed by the GFG team to assist students in resolving questions related to Coordinate Geometry they may have as they go through problems from the NCERT textbook. To gain a comprehensive understanding of the principles and their real-world applications, it’s essential to read the entire chapter and actively engage in all the associated activities. To assist with this, you will require NCERT Answers for Class 9 Mathematics Chapter 3. All of the problems in this chapter’s exercise from the NCERT textbook are covered in the NCERT Solutions for Class 9 Maths.

Chapter 3 Maths Class 9 serves as a foundational building block for your future studies, as it paves the way for more advanced concepts in higher classes. Dive into the intricacies of Class 9 Maths Chapter 3, and leverage the Coordinate Geometry Class 9 NCERT Solutions to tackle any questions or doubts that may arise along the way.

CBSE Class 9 NCERT Solutions for Maths Chapter 3 Coordinate Geometry covers the following topics:

• Introduction to Coordinate Geometry
• Cartesian Plane
• Plotting Points in the Cartesian Plane
• Slope of a Line
• Distance Formula
• Coordinate Geometry Applications