---
title: "NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1"
url: https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions/exercise-1-1
dateModified: 2026-10-07T15:39:44+00:00
---

# NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1

Chapter 1: Orienting Yourself: The Use of Coordinates. Every question from Exercise 1.1, with full working and the final answer.

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## Exercise Set 1.1

### Question 1

*3 marks · Short answer*

Referring to Fig. 1.3, answer the following questions:
(i) If $D_1R_1$ 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?
(ii) What are the coordinates of $D_1$?
(iii) If $R_1$ 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?
(iv) If $B_1(0, 1.5)$ and $B_2(0, 4)$ represent the ends of the bathroom door, is the bathroom door narrower or wider than the room door?

**Part (i)**

1. The point $D_1$ is on the x-axis with an x-coordinate of $11.5$, so the door is $11.5$ units (feet) away from the left wall (y-axis).
2. The door lies along the x-axis, so its distance from the x-axis is $0$ units.

Answer (i): $11.5$ ft from the left wall and $0$ ft from the x-axis.

**Part (ii)**

1. The point $D_1$ is located on the x-axis.
2. Its x-coordinate is $11.5$ and y-coordinate is $0$, so the coordinates are $(11.5, 0)$.

Answer (ii): $(11.5, 0)$

**Part (iii)**

1. The door starts at $D_1(11.5, 0)$ and ends at $R_1(11.5, 0)$, but looking at the figure, the width of the door $D_1R_1$ is measured along the x-axis from $11.5$ to $12$, making it $0.5$ ft or 6 inches wide.
2. This is extremely narrow and not a comfortable width for a room door.
3. A person in a wheelchair will not be able to enter the room as standard wheelchair accessible doors require a much larger width.

Answer (iii): Width is $0.5$ ft; it is not a comfortable width and a wheelchair user cannot enter easily.

**Part (iv)**

1. The bathroom door has ends $B_1(0, 1.5)$ and $B_2(0, 4)$, so its width is $4 - 1.5 = 2.5$ units (feet).
2. The room door width is $0.5$ ft.
3. Comparing the two, the bathroom door ($2.5$ ft) is wider than the room door ($0.5$ ft).

Answer (iv): The bathroom door is wider than the room door.

**Answer:** Refer to the individual parts for the solutions.

> Common mistake: Confusing the coordinates of the door ends with its actual width.

## Related pages

- [All Chapter 1 NCERT solutions](https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions)
- [Exercise 1.2](https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions/exercise-1-2)

Solutions written by SwaVid, a personal AI tutor for Class 6 to 10 Maths and Science. Practise this chapter free: https://www.swavid.com/start/student
