The NCERT has designed Chapter 3 of the textbook, “Coordinate Geometry”, in such a way that it teaches students about the various concepts of Geometry, such as cartesian planes or coordinate axes and even about plotting points in a plane. NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry Exercise 3.3 helps students to learn about plotting a point in a plane if its coordinates are given.
Subject-matter experts who designed these NCERT Solutions have ensured that the answers to these questions under Exercise 3.3 of the textbook are given in easy-to-understand language, with simple examples. NCERT Solutions helps students to be thorough with the concept and thus to score high in the exams. It also becomes easy for them to prepare for the exams, as they will be more familiar with the questions of the exercise.
NCERT Solutions for Class 9 Maths Chapter 3- Coordinate Geometry Exercise 3.3
Access Other Exercise Solutions of Class 9 Maths Chapter 3 – Coordinate Geometry
Exercise 3.1 Solutions 2 Questions (1 Long Answer Question and 1 Main Question with 2 Sub-questions under it)
Exercise 3.2 Solutions 2 Questions (1 Main Question with 3 Sub-questions and 1 Main question with 8 Sub-questions)
NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry Exercise 3.3
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:
- (– 2, 4): Second Quadrant (II-Quadrant)
- (3, – 1): Fourth Quadrant (IV-Quadrant)
- (– 1, 0): Negative x-axis
- (1, 2): First Quadrant (I-Quadrant)
- (– 3, – 5): Third Quadrant (III-Quadrant)
2. Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
Solution:
The points to be plotted on the (x, y) are
i. (-2, 8)
ii. (-1, 7)
iii. (0, -1.25)
iv. (1, 3)
v. (3, -1)
On the graph, mark the X-axis and Y-axis. Mark the meeting point as O.
Now, let’s consider 1 unit = 1 cm
i. (-2, 8): II- Quadrant. The meeting point of the imaginary lines starts from 2 units to the left of origin O and from 8 units above the origin O.
ii. (-1, 7): II- Quadrant. The meeting point of the imaginary lines starts from 1 unit to the left of origin O and from 7 units above the origin O.
iii. (0, -1.25): On the x-axis, 1.25 units to the left of the origin O.
iv. (1, 3): I- Quadrant. The meeting point of the imaginary lines starts from 1 unit to the right of origin O and from 3 units above the origin O.
v. (3, -1): IV- Quadrant. The meeting point of the imaginary lines starts from 3 units to the right of origin O and from 1 unit below the origin O.
This exercise helps students to simplify the process of plotting a point in the plane if its Coordinates are given. The NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry Exercise 3.3 of the NCERT textbook contain 2 questions, and the first question asks to identify the quadrant or the axis, on which the specified points lie.
More in-depth explanations and accurate solutions can be accessed from the NCERT chapter-wise solutions that we have provided. The 2 questions asked in this exercise are long answer questions and require students to locate or plot the points as specified in each question.
Solving the exercise-wise solutions will help students in the following ways:
- To get an overall understanding of the concept more clearly.
- To familiarise them with the different types of questions asked.
- Get enough practice to solve the questions more confidently.
- To increase the accuracy and speed in solving problems.
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