--- title: "NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2" url: https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions/exercise-1-2 dateModified: 2026-10-07T15:39:44+00:00 --- # NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2 Chapter 1: Orienting Yourself: The Use of Coordinates. Every question from Exercise 1.2, with full working and the final answer. Free PDF (14 pages): https://www.swavid.com/api/seo/pdf/ncert/maths/class-9/swavid-ncert-solutions-class-9-maths-chapter-1-orienting-yourself-the-use-of-coordinates-4b656a2f59.pdf ## Exercise Set 1.2 ### Question 1 *3 marks · Short answer* Place Reiaan's rectangular study table with three of its feet at the points $(8, 9)$, $(11, 9)$ and $(11, 7)$. (i) Where will the fourth foot of the table be? (ii) Is this a good spot for the table? (iii) What is the width of the table? The length? Can you make out the height of the table? **Part (i)** 1. Opposite sides of a rectangle are equal and parallel. 2. Given three feet at $(8, 9)$, $(11, 9)$, and $(11, 7)$, the fourth foot forms a rectangle with them. 3. The x-coordinate of the fourth foot is $8$ and the y-coordinate is $7$, giving $(8, 7)$. Answer (i): $(8, 7)$ **Part (ii)** 1. The coordinates $(8, 9)$, $(11, 9)$, $(11, 7)$, and $(8, 7)$ place the table neatly against the room boundaries in Fig. 1.5. 2. Hence, this is a good and practical spot for the study table. Answer (ii): Yes, it is a good spot as it fits neatly against the walls. **Part (iii)** 1. The distance between $(8, 9)$ and $(11, 9)$ gives the length as $3\text{ ft}$, and between $(11, 9)$ and $(11, 7)$ gives the width as $2\text{ ft}$. 2. Since Fig. 1.1 and Fig. 1.5 show only a 2-D floor map, the height of the table cannot be determined. Answer (iii): Width = $2\text{ ft}$, Length = $3\text{ ft}$, Height cannot be made out. **Answer:** (i) $(8, 7)$, (ii) Yes, near the corner, (iii) Width = $2\text{ ft}$, Length = $3\text{ ft}$, Height cannot be determined from a 2D floor map. > Common mistake: Confusing the length and width axes or assuming height can be read from a 2-D floor plan. ### Question 2 *3 marks · Short answer* If the bathroom door has a hinge at $B_1$ and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider? **Part (i)** 1. The bathroom door has a hinge at $B_1(0, 1.5)$ and opens into the bedroom towards the wardrobe. 2. The wardrobe is located further along the wall near the positive x-axis. 3. Checking the distance and position in Fig. 1.5, the door swings clear of the wardrobe. Answer (i): No, it will not hit the wardrobe. **Part (ii)** 1. If the door is made wider, the arc of the door swing will increase. 2. A wider door might collide with the wardrobe if it exceeds the available clearance space. Answer (ii): Yes, changes such as shifting the hinge or reducing the wardrobe length would be suggested. **Answer:** No, it will not hit the wardrobe. If the door is made wider, it may hit the wardrobe and the hinge position or door width should be adjusted. > Common mistake: Ignoring the direction of the door swing and the position of the wardrobe. ### Question 3 *3 marks · Short answer* Look at Reiaan's bathroom. (i) What are the coordinates of the four corners $O, F, R,$ and $P$ of the bathroom? (ii) What is the shape of the showering area SHWR in Reiaan's bathroom? Write the coordinates of the four corners. (iii) Mark off a $3\text{ ft} \times 2\text{ ft}$ space for the washbasin and a $2\text{ ft} \times 3\text{ ft}$ space for the toilet. Write the coordinates of the corners of these spaces. **Part (i)** 1. From Fig. 1.5, point $O$ is at the origin $(0, 0)$. Answer (i): $O = (0, 0)$, $F = (0, 9)$, $R = (-5, 9)$, and $P = (-5, 0)$ **Part (ii)** 1. The showering area $SHWR$ is rectangular in shape. 2. Its four corners are $S = (-5, 5)$, $H = (-3, 5)$, $W = (-3, 9)$, and $R = (-5, 9)$. Answer (ii): Rectangle; corners are $S = (-5, 5)$, $H = (-3, 5)$, $W = (-3, 9)$, and $R = (-5, 9)$ **Part (iii)** 1. Using the scale $1\text{ cm} : 1\text{ ft}$, place the washbasin and toilet spaces against the walls. 2. The corners of the $3\text{ ft} \times 2\text{ ft}$ washbasin and $2\text{ ft} \times 3\text{ ft}$ toilet spaces are read directly from the grid. Answer (iii): Washbasin space corners are $(-5, 1)$, $(-2, 1)$, $(-2, 3)$, and $(-5, 3)$; toilet space corners are $(-5, 3)$, $(-3, 3)$, $(-3, 6)$, and $(-5, 6)$ **Answer:** The coordinates of the corners, showering area, and fixtures are determined using the given floor plan in Fig. 1.5. > Common mistake: Confusing the order of $x$ and $y$ coordinates when reading points in the second quadrant. ### Question 4 *3 marks · Short answer* Other rooms in the house: (i) Reiaan's room door leads from the dining room which has the length $18\text{ ft}$ and width $15\text{ ft}$. The length of the dining room extends from point $P$ to point $A$. Sketch the dining room and mark the coordinates of its corners. (ii) Place a rectangular $5\text{ ft} \times 3\text{ ft}$ dining table precisely in the centre of the dining room. Write down the coordinates of the feet of the table. **Part (i)** 1. The length of the dining room extends from point $P$ to point $A$ with a length of $18\text{ ft}$ and width of $15\text{ ft}$. 2. Sketch a rectangle starting from point $P$ and mark its four corners using the given dimensions. Answer (i): A sketched rectangle of length $18\text{ ft}$ and width $15\text{ ft}$ with labeled corner coordinates. **Part (ii)** 1. The dining table is $5\text{ ft} \times 3\text{ ft}$ and placed precisely in the centre of the dining room. 2. Calculate the centre of the dining room and find the coordinates of the four feet of the table by offsetting half the table's length and width from the centre. Answer (ii): Coordinates of the four feet of the dining table placed at the centre. **Answer:** (i) Dining room corners from $P$ to $A$ with length $18\text{ ft}$ and width $15\text{ ft}$. (ii) Centre coordinates of the dining table feet. > Common mistake: Incorrectly calculating the centre coordinates of the room when placing the table. ## Related pages - [All Chapter 1 NCERT solutions](https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions) - [Exercise 1.1](https://www.swavid.com/maths/class/9/chapter/orienting-yourself-the-use-of-coordinates/ncert-solutions/exercise-1-1) 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