coordinate plane room layout class 9 maths chapter 1 exercise 1.1 solution diagram

Class 9 Maths Chapter 1 Exercise 1.1 Solutions (Coordinates – New NCERT 2026)

👉 Check complete chapter: Class 9 Maths Chapter 1 Full Solutions

Class 9 Maths Chapter 1 Exercise 1.1 Solutions

Step-by-step explanation based on Ganita Manjari (CBSE)

Class 9 Maths Chapter 1 Exercise 1.1 Solutions are provided here with clear step-by-step explanations based on the new NCERT book Ganita Manjari (2026). This exercise helps students understand coordinates using real-life examples like room layouts.

Why Class 9 Maths Chapter 1 Exercise 1.1 is Important

This exercise builds the foundation of coordinate geometry. It teaches how to find distance from axes, identify coordinates, and apply concepts in real-life situations.

Q1 (i) Distance of Door

Given: D₁ = (8, 0), R₁ = (11.5, 0)

Solution:

  • Distance from y-axis = x-coordinate = 8 units
  • Distance from x-axis = y-coordinate = 0 units
Final Answer:
8 units from y-axis, 0 units from x-axis

💡 Concept: Distance from axis depends on coordinates

⚠️ Mistake: Confusing x and y

Q1 (ii) Coordinates of D₁

  • x = 8
  • y = 0 (on x-axis)
Final Answer: (8, 0)

💡 Points on x-axis → (x, 0)

Q1 (iii) Width of Door

Width = |11.5 − 8| = 3.5 units

Final Answer: 3.5 units

🚪 Real-life: ≈ 3.5 feet (comfortable for normal entry)

Q1 (iv) Bathroom Door

Width = |4 − 1.5| = 2.5 units

Final Answer: 2.5 units

Room door = 3.5 units
Bathroom door = 2.5 units
👉 Bathroom door is narrower

As per CBSE curriculum, strong fundamentals in coordinates are essential for higher classes. Visit CBSE Official Website

🧠 Chapter Summary

  • Points on x-axis → y = 0
  • Points on y-axis → x = 0
  • Distance = difference of coordinates

❓ Frequently Asked Questions

Q1. How to find distance from x-axis?
Distance = y-coordinate of the point

Q2. What is coordinate form of a point?
A point is written as (x, y)

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📘 Download Class 9 Maths NCERT Book (Ganita Manjari 2026)

For better understanding of concepts, students should always refer to the original NCERT textbook. You can download the official Class 9 Maths book directly from the NCERT website.

This will help you practice questions exactly as per CBSE exam pattern and improve conceptual clarity.

📥 Download NCERT Class 9 Maths Book

Source: Official NCERT Website

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