Coordinate Geometry: Exercise 2

Question 1: Write the answer to each of the following questions:

(i) What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect.

Solution:

(i) Name of the horizontal and vertical lines are:

• The horizontal line drawn on the Cartesian plane is known as x-axis.
• The vertical line drawn on the Cartesian plane is known as y-axis.

(ii) The name of each part of the plane formed by the two lines x-axis and y-axis is called as a quadrant (1/4^th part).                                                               

(iii) Name of the point where there two lines intersect is called the origin(O).

Question 2: See the given figure, and write the following:
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates (–3, –5).
(iv) The point identified by the coordinates (2, – 4).
(v) The abscissa of the point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.

Solution:

(i) The coordinates of point B is the distance of point B from x-axis and y-axis that is −5 and 2 respectively.
Therefore, the coordinates of point B are (−5, 2).

(ii)  The coordinates of point C is the distance of point C from x-axis and y-axis that is  5 and −5 respectively.
Therefore, the coordinates of point C are (5, −5).

(iii) The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.

(iv) The point whose x-coordinate and y-coordinate are 2 and −4 respectively is point G.

(v) The x-coordinate of point D is 6. Therefore, the abscissa of point D is 6.

(vi) The y-coordinate of point H is −3. Therefore, the ordinate of point H is −3.

(vii) The coordinates of point L is the distance of point L from x-axis and y-axis that is 0 and 5 respectively.
Therefore, the coordinates of point L are (0, 5).

(viii) The coordinates of point M is the distance of point M from x-axis and y-axis that is −3 and 0 respectively. Therefore, the coordinates of point M is (−3, 0).

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