Class 9 Maths Ganita Manjari Chapter 1 Exercise 1.1 Solutions

Class 9 Maths Ganita Manjari Chapter 1 Exercise 1.1 Solutions cover Reiaan’s room map from Orienting Yourself: The Use of Coordinates. The exercise asks students to use the x-axis, y-axis and coordinates to find the position of the room door, calculate its width and compare it with the bathroom door.

Chapter 1, Orienting Yourself: The Use of Coordinates, introduces students to the idea of locating points using a coordinate system. Before moving to general points in the Cartesian plane, Ganita Manjari Class 9 Chapter 1 Exercise 1.1 asks students to observe a room map and answer questions about the room door and bathroom door. These Class 9 Maths Chapter 1 Exercise 1.1 Solutions explain how to read distances from the y-axis and x-axis, identify coordinates, calculate door width and compare two door openings.

Key Takeaways

• Coordinate Axes: The x-axis and y-axis help locate points on a room map.
• Origin: Point O is the starting point used to measure positions.
• Door Coordinates: Points on the x-axis have y-coordinate 0, and points on the y-axis have x-coordinate 0.
• Door Width: Width can be found by subtracting coordinates on the same axis.

Class 9 Maths Ganita Manjari Chapter 1 Exercise 1.1 Solutions Structure 2026

Class 9 Maths Ganita Manjari Chapter 1 Exercise 1.1 Solutions

In Exercise Set 1.1, Fig. 1.3 shows Reiaan’s room with points OABC marking its corners. The x-axis and y-axis are marked, and point O is the origin.

From the actual figure:

This section gives textbook-based Class 9 Maths coordinates exercise answers for the first exercise of Chapter 1. The focus is on reading points on the x-axis and y-axis Class 9 diagram and using coordinates to find real distances in a room layout.

Exercise 1.1 Question 1

(i) If D₁R₁ represents the door to Reiaan’s room, how far is the door from the left wall, the y-axis, of the room? How far is the door from the x-axis?

Solution:

From Fig. 1.3, D₁R₁ represents the door to Reiaan’s room.

The point D₁ is marked on the x-axis at:

D₁ = (9, 0)

The x-coordinate of D₁ tells us how far the door is from the y-axis.

So,

Distance from the left wall / y-axis = 9 ft

Since D₁R₁ lies on the x-axis, its distance from the x-axis is:

0 ft

Answer: The door is 9 ft from the left wall or y-axis and 0 ft from the x-axis.

(ii) What are the coordinates of D₁?

Solution:

From Fig. 1.3, D₁ lies on the x-axis.

Every point on the x-axis has y-coordinate 0.

D₁ is 9 units to the right of the origin.

Therefore:

D₁ = (9, 0)

Answer: The coordinates of D₁ are (9, 0).

(iii) If R₁ is the point (11.5, 0), how wide is the door? Do you think this is a comfortable width for the room door? If a person in a wheelchair wants to enter the room, will he/she be able to do so easily?

Solution:

The room door is represented by the line segment D₁R₁.

From Fig. 1.3:

• D₁ = (9, 0)
• R₁ = (11.5, 0)

Both points lie on the x-axis. So, the width of the door is the difference between their x-coordinates.

Door width = 11.5 − 9

Door width = 2.5 ft

A 2.5 ft wide door is equal to 30 inches. This may be usable as a regular room door, but it may not be comfortable for wheelchair access. A wheelchair usually needs wider clear space for easy movement.

Answer: The room door is 2.5 ft wide. It may be comfortable for regular use, but it may not be wide enough for a person in a wheelchair to enter easily.

(iv) If B₁ (0, 1.5) and B₂ (0, 4) represent the ends of the bathroom door, is the bathroom door narrower or wider than the room door?

Solution:

The bathroom door is represented by B₁B₂.

Given:

• B₁ = (0, 1.5)
• B₂ = (0, 4)

Both points lie on the y-axis. So, the width of the bathroom door is the difference between their y-coordinates.

Bathroom door width = 4 − 1.5

Bathroom door width = 2.5 ft

From part (iii), the room door width is also 2.5 ft.

Answer: The bathroom door is neither narrower nor wider than the room door. Both doors are 2.5 ft wide.

Final Answers for Exercise 1.1

Concept Used in Orienting Yourself The Use of Coordinates Exercise 1.1

Orienting Yourself The Use of Coordinates Exercise 1.1 uses the basic idea of coordinates on the axes. Students learn how a real floor map can be studied using the Cartesian coordinate system Class 9 concept.

The important rules are:

• A point on the x-axis has coordinates of the form (x, 0).
• A point on the y-axis has coordinates of the form (0, y).
• The distance between two points on the same horizontal line is found by subtracting their x-coordinates.
• The distance between two points on the same vertical line is found by subtracting their y-coordinates.
• A floor map shows length and width, not height.

In this exercise, D₁R₁ lies on the x-axis, so its length is found using x-coordinates. B₁B₂ lies on the y-axis, so its length is found using y-coordinates. This makes Exercise 1.1 a simple introduction to the coordinate plane Class 9 topic.

About Class 9 Maths Ganita Manjari Chapter 1 Exercise 1.1

Ganita Manjari Class 9 Chapter 1 Exercise 1.1 connects coordinate geometry with a real room layout. Instead of directly plotting abstract points, students first learn how coordinates can describe the location of doors and objects on a floor map.

These Class 9 Ganita Manjari coordinate geometry solutions prepare students for later topics in the chapter, such as:

• Cartesian coordinate system
• x-axis and y-axis
• origin
• coordinates of points on axes
• coordinate plane
• quadrants
• distance between two points
• real-life use of coordinate geometry

NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 1