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Practice Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers based on the latest NCERT syllabus. Solve fresh, NCERT-based MCQs on Cartesian coordinates, quadrants, origin, axes, and plotting points with detailed solutions for CBSE, state board, and school examinations.
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Chapter Information
Subject: Mathematics
Class: 9
Chapter: Coordinate Geometry
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Easy to Moderate
Based On: NCERT Latest Syllabus
Introduction:
Coordinate Geometry introduces students to the Cartesian coordinate system, where every point on a plane is represented by an ordered pair. This chapter explains how to identify coordinates, locate points on the graph, recognize quadrants, and understand the importance of the x-axis, y-axis, and origin. These concepts are essential for higher mathematics and many practical applications.
What You Will Learn?
✔ Cartesian Coordinate Plane
✔ Ordered Pair
✔ Coordinates of a Point
✔ X-axis and Y-axis
✔ Origin
✔ Four Quadrants
✔ Signs of Coordinates
✔ NCERT & Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry develops logical thinking, observation skills, and graphical understanding. It is one of the basic chapters of mathematics and plays an important role in future topics such as graphs, linear equations, trigonometry, and analytical geometry.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad & Scholarship Exams
Q1. Which of the following points lies in the Third Quadrant?
A)
$$(4,-9)$$
B)
$$(-6,-7)$$
C)
$$(-8,5)$$
D)
$$(3,6)$$
Answer:
$$(-6,-7)$$
Useful Formula for this Question:
A point lies in the Third Quadrant if
$$x<0,; y<0$$
Solution:
The point
$$(-6,-7)$$
has
- Negative x-coordinate
- Negative y-coordinate
Therefore, it lies in the Third Quadrant.
Hence, the correct answer is
$$(-6,-7)$$
Q2. The point
$$(0,-14)$$
lies on:
A) X-axis
B) First Quadrant
C) Y-axis
D) Third Quadrant
Answer:
Y-axis
Useful Formula for this Question:
If
$$x=0$$
then the point lies on the y-axis.
Solution:
The point
$$(0,-14)$$
has x-coordinate equal to zero.
Therefore, it lies on the y-axis.
Hence, the correct answer is:
Y-axis
Q3. Which of the following ordered pairs represents the origin?
A)
$$(1,1)$$
B)
$$(0,1)$$
C)
$$(1,0)$$
D)
$$(0,0)$$
Answer:
$$(0,0)$$
Useful Formula for this Question:
The origin is represented by
$$(0,0)$$
Solution:
The origin is the point where the x-axis and y-axis intersect.
Its coordinates are
$$(0,0)$$
Hence, the correct answer is
$$(0,0)$$
Q4. Which of the following points has a positive x-coordinate and a positive y-coordinate?
A)
$$(-5,8)$$
B)
$$(9,4)$$
C)
$$(-7,-3)$$
D)
$$(8,-2)$$
Answer:
$$(9,4)$$
Useful Formula for this Question:
Points in the First Quadrant satisfy
$$x>0,; y>0$$
Solution:
The point
$$(9,4)$$
has both coordinates positive.
Therefore, it lies in the First Quadrant.
Hence, the correct answer is
$$(9,4)$$
Q5. The horizontal number line in the Cartesian plane is called:
A) Y-axis
B) Origin
C) X-axis
D) Quadrant
Answer:
X-axis
Useful Formula for this Question:
The Cartesian plane consists of:
- Horizontal axis → X-axis
- Vertical axis → Y-axis
Solution:
The horizontal number line is known as the x-axis, while the vertical number line is known as the y-axis.
Hence, the correct answer is:
X-axis
Important Formulas and Concepts
Ordered Pair
$$(x,y)$$
Origin
$$(0,0)$$
Point on X-axis
$$y=0$$
Point on Y-axis
$$x=0$$
Signs of the Quadrants
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. What is the Cartesian plane?
Answer:
The Cartesian plane is a two-dimensional plane formed by the intersection of the x-axis and y-axis at the origin. It is used to locate points using ordered pairs.
Q. What is the difference between the x-axis and the y-axis?
Answer:
The x-axis is the horizontal number line, while the y-axis is the vertical number line. They intersect at the origin.
Q. What is an ordered pair?
Answer:
An ordered pair is written as
$$(x,y)$$
where the first value is the x-coordinate and the second value is the y-coordinate.
Common Mistakes Students Make
❌ Confusing the horizontal and vertical axes.
❌ Forgetting that the origin is represented by
$$(0,0)$$
❌ Identifying the wrong quadrant because of sign errors.
❌ Reversing the x-coordinate and y-coordinate.
❌ Plotting points without checking both coordinates.
Quick Revision Notes
✔ Coordinates are written as
$$(x,y)$$
✔ The first value is the x-coordinate.
✔ The second value is the y-coordinate.
✔ The x-axis is horizontal.
✔ The y-axis is vertical.
✔ The origin is
$$(0,0)$$
✔ Quadrant signs:
- First → (+,+)
- Second → (-,+)
- Third → (-,-)
- Fourth → (+,-)
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions –are prepared according to the latest NCERT syllabus and include fresh, non-repeated, concept-based questions. Practising these MCQs will help students strengthen their understanding of coordinates, axes, quadrants, and the Cartesian plane while improving their confidence for CBSE exams, state board examinations, school tests, Olympiads, and scholarship exams.
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