Exercise 1.2 Class 9 Maths Solutions | Ganita Manjari

Exercise 1.2 Class 9 Maths Solutions of Ganita Manjari Chapter 1 helps students understand important concepts of coordinate geometry in an easy way. These NCERT solutions are prepared according to the latest CBSE syllabus for better exam preparation and Updated for latest CBSE 2025–26 syllabus.

Students can use these solutions to complete homework, revise concepts, and improve problem-solving skills.

• Book: Ganita Manjari
• Class: 9
• Chapter: Orienting Yourself: The Use of Coordinates
• Exercise: 1.2
• Board: CBSE

Exercise 1.2 Class 9 Maths Solutions | Ganita Manjari Chapter 1 PDF

On a graph sheet, mark the x-axis and y-axis and the origin O. Mark points from (– 7, 0) to (13, 0) on the x-axis and from (0, – 15) to (0, 12) on the y-axis. (Use the scale 1 cm = 1 unit.) Using Fig. 1.5, answer the given questions

Fig 1.5: Coordinate geometry representation of Reiaan’s room and bathroom from Class 9 Maths Exercise 1.2.

Answer:

Answer of Fig 1.5: Coordinate graph showing plotted points on x-axis and y-axis for Exercise 1.2 Class 9 Maths.

1. 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? 

Answer:

Given three points are (8,9), (11,9) and (11,7). Therefore the fourth point must lie at (8,7) to make it a square.

(ii) Is this a good spot for the table? 

Answer: 

Yes, this spot is good for study table as -

• Table is positioned near wall
• It does not block any door

(iii) What is the width of the table? The length? Can you make out the height of the table?

Answer:

Width of table

Distance between (8,9) and (11,9) => 11- 8 = 3 units.

Length of table

Distance between  (11,9) and (11,7) => 9 -7 = 2 units.

2. If the bathroom door has a hinge at B1 and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider?

Answer:

From Fig. 1.5:

* ( B1 = (0, 1.5) )

* ( B2 = (0, 4) )

The width of the bathroom door is:

Door width = 4 - 1.5 = 2.5 units

If the bathroom door opens towards the bedroom with ( B1 ) as the hinge point, the door will rotate in an arc of radius 2.5 units.

The wardrobe starts from:

* ( W1 = (3, 0) )

* ( W4 = (3, 2) )

Since the wardrobe is more than 2.5 units away from the hinge point ( B1 ), the door will not touch the wardrobe while opening.

Therefore, the bathroom door can open comfortably without hitting the wardrobe.

If the door were made wider in future, the wardrobe might come closer to the path of the door. In that case:

* the wardrobe could be shifted slightly,

* or the door could be designed to open inward for better space management.

3. Look at Reiaan’s bathroom.

(i) What are the coordinates of the four corners O, F,R, and P of

the bathroom?

Answer: O (0,0)  ;  F (0,9) : R (-6,9) : P (-6,0)

(ii) What is the shape of the showering area SHWR in Reiaan’s

bathroom? Write the coordinates of the four corners.

Answer:

From Fig. 1.5:

( S = (-6, 5) )
( H = (-3, 5) )
( W = (-2, 9) )
( R = (-6, 9) )

Here, points ( S ) and ( H ) lie on the same horizontal line ( y = 5 ), and points ( R ) and ( W ) lie on another horizontal line ( y = 9 ).

Therefore, side ( SH ) is parallel to side ( RW ).

Since one pair of opposite sides is parallel, quadrilateral ( SHWR ) is a trapezium.

(iii) Mark off a 3 ft × 2 ft space for the washbasin and a 2 ft × 3 ft

space for the toilet. Write the coordinates of the corners of

these spaces.

Answer:

To represent the washbasin and toilet spaces on the coordinate plane, we use rectangular regions inside the bathroom area.

Washbasin Space (3 ft × 2 ft)

The washbasin can be placed in the lower-left corner of the bathroom.

Coordinates of its corners are:

( (-6, 0) )
( (-3, 0) )
( (-3, 2) )
( (-6, 2) )

These points form a rectangle of length 3 units and width 2 units.

Toilet Space (2 ft × 3 ft)

The toilet area can be placed just above the washbasin.
Coordinates of its corners are:
(-6, 2) 
(-4, 2) 
(-4, 5) 
(-6, 5) 

These points form a rectangle of length 2 units and width 3 units.

Thus, both spaces are properly represented on the coordinate graph using rectangular shapes.

4. Other rooms in the house:

(i) Reiaan’s room door leads from the dining room which has

the length 18 ft and width 15 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.

Answer: 

PNMA is the dining room .

(ii) Place a rectangular 5 ft × 3 ft dining table precisely in the

centre of the dining room. Write down the coordinates of the

feet of the table.

Answer:

Coordinates of table feet are - (0.5, -6), (5.5, -6), (5.5, -9), (0.5, -9)

Conclusion

Exercise 1.2 Class 9 Maths Solutions helps students understand coordinate geometry concepts easily. These step-by-step solutions improve conceptual clarity and help students prepare effectively for school exams and CBSE assessments.

FAQs

1. What is Exercise 1.2 Class 9 Maths about?

Exercise 1.2 of Class 9 Maths focuses on coordinate geometry and helps students understand plotting points on the Cartesian plane.

2. Are these Exercise 1.2 solutions based on the latest CBSE syllabus?

Yes, these solutions are prepared according to the latest CBSE syllabus and NCERT guidelines.

3. How can I solve coordinate geometry questions easily?

Students should practice plotting points regularly and understand the x-axis, y-axis, and coordinates clearly.

4. Can I use these solutions for exam preparation?

Yes, these step-by-step solutions are useful for homework, revision, and CBSE exam preparation.

5. Is Exercise 1.2 important for Class 9 exams?

Yes, coordinate geometry is an important chapter and questions from Exercise 1.2 are frequently asked in exams.

6. Can I download Exercise 1.2 Class 9 Maths Solutions PDF?

Yes, students can save or print these solutions for offline study and revision.

7. Which chapter does Exercise 1.2 belong to?

Exercise 1.2 belongs to the chapter “Orienting Yourself: The Use of Coordinates” in Class 9 Maths.

8. Why should students practice NCERT solutions regularly?

Regular practice improves conceptual understanding, accuracy, and confidence in solving Maths problems.

📘 Exercise 1.1 Solutions 📘 End-of-Chapter Exercises (Ch-1) 📝 Chapter Notes ❓ Important Questions

NCERT Solutions for Class 9 Maths

Last updated according to latest NCERT and CBSE syllabus.