---

Short Intro

In this post, students can find complete step-by-step solutions for Class 9 Maths Chapter 1 Exercise 1.2 – Coordinate Geometry. All questions are solved in simple language with proper explanations based on the latest NCERT syllabus to help students understand coordinates, quadrants, plotting points, and practical applications of coordinate geometry easily.

---

Quick Information Box

Item	Details
Board	NCERT / CBSE
Class	9
Subject	Maths
Chapter	Coordinate Geometry
Exercise	1.2
Topic	Cartesian Plane & Coordinates

---

Concepts Used (Topics Covered)

• Cartesian Coordinate System
• Coordinates of Points
• Quadrants
• Plotting Points
• Rectangular Shapes on Coordinate Plane
• Distance Along Axes
• Coordinates in Real Life

The exercise explains how coordinates help locate objects precisely in the Cartesian plane.

---

Important Formulas

Coordinates of Origin

O = (0, 0)

---

Point on x-axis

(x, 0)

---

Point on y-axis

(0, y)

---

Distance Formula

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

---

Questions & Step-by-step Solutions

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.

Question 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?
(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?

Solution

---

Question 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?

Solution

---

Question 3

Look at Reiaan’s bathroom.

1. What are the coordinates of the four corners O, F, R, and P of the bathroom?

2. What is the shape of the showering area SHWR in Reiaan’s bathroom? Write the coordinates of the four corners.

3. 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

Solution

---

Question 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.
(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

---

---

Think and Reflect

1. In moving from A (3, 4) to D (7, 1), what distance has been covered
   along the x-axis? What about the distance along the y-axis?
2. Can these distances help you find the distance AD?

1. What has remained the same and what has changed with this reflection?
2. Would these observations be the same if ΔADM is reflected in the x-axis (instead of the y-axis)?

Important Observation

Coordinates in Different Quadrants

Quadrant I  → (+, +)
Quadrant II → (−, +)
Quadrant III → (−, −)
Quadrant IV → (+, −)

The coordinate plane is divided into four quadrants.

---

Common Mistakes

• Writing coordinates in wrong order
• Confusing x-axis and y-axis
• Forgetting negative signs
• Incorrect plotting of points
• Confusing length and width

---

Exam Tips

• Always write coordinates in form (x, y).
• Practice plotting points regularly.
• Learn quadrant signs carefully.
• Use graph paper neatly during exams.

---

Practice MCQs

MCQ 1

Coordinates of origin are:

A. (1, 1)
B. (0, 0)
C. (0, 1)
D. (1, 0)

Answer:

B. (0, 0)

---

MCQ 2

Point (−3, 5) lies in:

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answer:

B. Quadrant II

---

MCQ 3

A point on y-axis has:

A. x = 0
B. y = 0
C. x = y
D. None

Answer:

A. x = 0

---

MCQ 4

Coordinates are always written as:

A. (y, x)
B. (x, y)
C. x + y
D. x − y

Answer:

B. (x, y)

---

FAQ Section

What is a Cartesian plane?

The plane formed by x-axis and y-axis is called the Cartesian plane.

---

How many quadrants are there?

There are four quadrants in the coordinate plane.

---

What are coordinates of origin?

(0, 0)

---

Why is Exercise 1.2 important?

It helps students understand plotting points and coordinate geometry used in higher mathematics.

---

📘 Improve Your Maths Preparation with MyMockMate!

✅ Practice Chapter-wise Mock Tests
✅ Solve Important MCQs
✅ Download Notes PDF
✅ Get Instant Performance Analysis
✅ Prepare Smarter for Board Exams

Start learning now on MyMockMate.

---