Class 9 Maths Chapter 1 Exercise 1.1 Solutions | Ganita Manjari | Coordinates (Easy Explanation)

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In this post, we provide complete and easy solutions of Exercise 1.1 from Class 9 Maths (Ganita Manjari). This chapter introduces the concept of coordinates using real-life situations like room mapping.

All questions are solved step-by-step so that students can understand clearly and prepare well for exams.

EXERCISE 1.1 – SOLUTIONS

Question (i)

If D1​R1​ 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 the figure:

  • Point D1=(8,0)D_1 = (8, 0)
  • Point R1=(11.5,0)R_1 = (11.5, 0)

Distance from y-axis = x-coordinate
So, distance = 8 units

Distance from x-axis = y-coordinate
So, distance = 0 units

Question (ii)

What are the coordinates of D1​?

Solution:

From the graph:

  • D1D_1 lies on x-axis
  • x-coordinate = 8
  • y-coordinate = 0

D1=(8,0)D_1 = (8, 0)

Question (iii)

If 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:

Door is represented by line segment D1R1D_1R_1

  • D1=(8,0)D_1 = (8, 0)
  • R1=(11.5,0)R_1 = (11.5, 0)

Width of door = Difference in x-coordinates=11.5−8=3.5 units= 11.5 – 8 = 3.5 \text{ units}

Interpretation:

  • A width of 3.5 units is quite wide
  • Yes, it is comfortable
  • A wheelchair can easily pass through
  • Width of door = 3.5 units
  • Yes, it is comfortable
  • Yes, wheelchair entry is possible

Question (iv)

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:

Bathroom door length:=4−1.5=2.5 units= 4 – 1.5 = 2.5 \text{ units}

Room door width:=3.5 units= 3.5 \text{ units}

👉 Compare:

  • Bathroom door = 2.5 units
  • Room door = 3.5 units
  • Bathroom door is narrower than the room door

🎯 CONCLUSION

In this exercise, we learned how coordinates help us measure real-life distances like doors and walls. This concept is very important for understanding coordinate geometry.

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