NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions – Orienting Yourself: The Use of Coordinates

The newly introduced NCERT Class 9 Maths Ganita Manjari textbook brings a fresh and practical approach to learning mathematics. Chapter 1, Orienting Yourself: The Use of Coordinates, is one of the most interesting chapters because it teaches students how to locate positions accurately using numbers and directions. This chapter forms the base of coordinate geometry, an important topic that students will continue to study in higher classes.

If you are searching for NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions, this detailed guide will help you understand all concepts, important questions, solved examples, and exercise answers in an easy way.

NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions: Download Now
Exercise Set 1.1 (Page 1 - 2)
Exercise Set 1.2 (Page 3 - 7)
End Of Chapter Exercises (Page 8 - 21)

About Chapter 1 – Orienting Yourself: The Use of Coordinates

In daily life, we often need to locate places on maps, mobile GPS systems, game boards, and seating arrangements. Coordinates help us find the exact position of an object or location.

This chapter introduces students to:

• Cartesian Plane
• X-axis and Y-axis
• Origin
• Ordered Pairs
• Quadrants
• Plotting Points
• Locating Points on Graph Paper
• Real-life Applications of Coordinates

It is the foundation of Coordinate Geometry.

What is a Coordinate System?

A coordinate system uses two perpendicular number lines:

• Horizontal Line = X-axis
• Vertical Line = Y-axis

The point where both axes intersect is called the Origin (0,0).

Every point on the plane is represented by an ordered pair:

(x, y)

Where:

• x-coordinate shows horizontal distance
• y-coordinate shows vertical distance

Example:

• (3,2) means move 3 units right and 2 units up.

Understanding Quadrants

The coordinate plane is divided into four parts called quadrants:

This concept is very important for exams.

Why This Chapter is Important?

This chapter helps students in:

• Understanding maps and navigation
• Learning graphs in science and maths
• Improving logical thinking
• Preparing for future chapters in geometry
• Solving real-world location problems

NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions

Below are easy solutions to common exercise questions.

Question: 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?

Figure 1.5

Sol.-  From Fig. 1.5:
B1=(0,1.5)
B2=(0,4)

So, the bathroom door has width:
=4-1.5
=2.5 units

If the door is hinged at B1 and opens into the bedroom, it will sweep an arc of radius 2.5 units from B1.

Now the wardrobe begins at:
W1=(3,0)            W4=(3,2)

The nearest point of the wardrobe from B1(0,1.5) is around x=3, which is farther than the door width 2.5 units.

Therefore, the bathroom door will not hit the wardrobe.

Suggestion if the door is made wider:

• If the door becomes much wider, it may come close to or hit the wardrobe.
• In that case, the door could be made to open inward into the bathroom, or
• the wardrobe could be shifted slightly to the right or
• the door width could be kept limited for comfortable movement.

Question: Look at Reiaan's bathroom.

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

Sol.-     From Fig. 1.5:
The coordinates of the four corners O,F,R, and P of the bathroom are:
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.

Sol.-     From the figure:
S=(-6,5)
H=(-3,5)
W=(-2,9)
R=(-6,9)




Since one pair of opposite sides is parallel, SHWR is a trapezium.
Shape of SHWR = Trapezium
Coordinates of the corners:
S=-6,5,     H=(-3,5)
W=-2,9,    R=(-6,9)

(iii)  Mark off a 3ft×2ft space for the washbasin and a 2ft×3ft space for the toilet. Write the coordinates of the corners of these spaces.

Sol.-      Washbasin space (3ft×2ft) :
Take the rectangle at the bottom-left corner of the bathroom.
Coordinates of Corners:
(-6,0),(-3,0),(-3,2) and (-6,2)
Toilet space (2ft×3ft) :
Take a rectangle above the washbasin.
Coordinates of Corners:
(-6,2),(-4,2),(-4,5) and (-6,5)
Coordinates of Washbasin corners:
(-6,0),(-3,0),(-3,2) and (-6,2)

Coordinates of Toilet corners:
(-6,2),(-4,2),(-4,5) and (-6,5)

Important Formulas and Facts

• Origin = (0,0)
• Point on X-axis = (x,0)
• Point on Y-axis = (0,y)
• First coordinate = x-coordinate
• Second coordinate = y-coordinate

Exam Preparation Tips

To score well in this chapter:

1. Practice Graphs Daily

Use graph paper and plot 10 points daily.

2. Learn Quadrants Properly

Remember signs of x and y.

3. Solve NCERT Exercises

Practice textbook examples and miscellaneous questions.

4. Revise Definitions

Origin, axes, ordered pair, quadrant.

Common Mistakes Students Make

• Writing coordinates as (y,x) instead of (x,y)
• Forgetting signs of negative numbers
• Plotting points in wrong quadrant
• Confusing x-axis with y-axis

Avoid these mistakes for better marks.

Real Life Uses of Coordinates

Coordinates are used in:

• Google Maps
• GPS Tracking
• Chess Board Positions
• Video Games
• Architecture Design
• Computer Graphics

So this chapter is highly practical and useful.

Why Students Need Chapter 1 Solutions?

Solutions help students:

• Understand textbook questions easily
• Learn correct solving method
• Save time in homework
• Improve confidence before exams
• Prepare for school tests and Olympiads

NCERT Class 9 Maths Ganita Manjari Chapter 1 PDF Solutions

• Class 9 Maths Chapter 1 solutions PDF
• Ganita Manjari Chapter 1 answers
• NCERT Class 9 coordinate geometry solutions
• Chapter 1 Maths solved exercise

NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions – Orienting Yourself: The Use of Coordinates is an important chapter that builds the base of coordinate geometry. By understanding axes, quadrants, plotting points, and ordered pairs, students can score high marks and gain practical mathematical skills.

Practice regularly, solve NCERT exercises, and revise concepts carefully. This chapter is simple, scoring, and highly useful for future maths learning.

NCERT Class 9 Maths Ganita Manjari Chapter 1 Solutions: Download Now
Exercise Set 1.1 (Page 1 - 2)
Exercise Set 1.2 (Page 3 - 7)
End Of Chapter Exercises (Page 8 - 21)