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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 coordinate axes, quadrants, ordered pairs, Cartesian plane, and plotting points with detailed solutions for CBSE, state board, and school exams.
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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:
The Coordinate Geometry chapter explains how points are represented on a plane using ordered pairs. Students become familiar with the Cartesian plane, x-axis, y-axis, origin, and quadrants. These concepts are widely used in mathematics and real-life applications such as maps, engineering, computer graphics, and navigation systems.
What You Will Learn?
✔ Cartesian Coordinate System
✔ Ordered Pair
✔ Coordinates of a Point
✔ X-axis and Y-axis
✔ Origin
✔ Four Quadrants
✔ Position of Points
✔ NCERT Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry is one of the basic building blocks of mathematics. It develops visualization and analytical skills and prepares students for graph-based topics in higher classes. Questions from this chapter frequently appear in school and competitive examinations.
Exam Relevance
These questions are useful for:
✔ CBSE School Exams
✔ State Board Exams
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad & Scholarship Exams
Q1. Which of the following points lies in the Fourth Quadrant?
A)
$$(-3,-8)$$
B)
$$(5,-9)$$
C)
$$(-4,7)$$
D)
$$(6,3)$$
Answer:
$$(5,-9)$$
Useful Formula for this Question:
A point lies in the Fourth Quadrant if
$$x>0,; y<0$$
Solution:
The point
$$(5,-9)$$
has
- Positive x-coordinate
- Negative y-coordinate
Therefore, it lies in the Fourth Quadrant.
Hence, the correct answer is
$$(5,-9)$$
Q2. Which point lies exactly on the x-axis?
A)
$$(9,0)$$
B)
$$(0,9)$$
C)
$$(-5,6)$$
D)
$$(-2,-4)$$
Answer:
$$(9,0)$$
Useful Formula for this Question:
A point lies on the x-axis if
$$y=0$$
Solution:
The point
$$(9,0)$$
has y-coordinate equal to zero.
Therefore, it lies on the x-axis.
Hence, the correct answer is
$$(9,0)$$
Q3. What are the coordinates of the point where the x-axis and y-axis intersect?
A)
$$(1,0)$$
B)
$$(0,1)$$
C)
$$(0,0)$$
D)
$$(1,1)$$
Answer:
$$(0,0)$$
Useful Formula for this Question:
The x-axis and y-axis intersect at the
Origin
$$(0,0)$$
Solution:
The common point of the x-axis and y-axis is called the origin.
Its coordinates are
$$(0,0)$$
Hence, the correct answer is
$$(0,0)$$
Q4. The point
$$(-12,5)$$
lies in which quadrant?
A) First Quadrant
B) Second Quadrant
C) Third Quadrant
D) Fourth Quadrant
Answer:
Second Quadrant
Useful Formula for this Question:
Second Quadrant contains points with
$$(-,+)$$
Solution:
The point
$$(-12,5)$$
has
- Negative x-coordinate
- Positive y-coordinate
Therefore, it lies in the Second Quadrant.
Hence, the correct answer is:
Second Quadrant
Q5. Which of the following statements is correct?
A) Every point on the x-axis has
$$x=0$$
B) Every point on the y-axis has
$$y=0$$
C) Every point on the x-axis has
$$y=0$$
D) Every point in the First Quadrant has a negative x-coordinate.
Answer:
$$\textbf{Every point on the x-axis has }y=0$$
Useful Formula for this Question:
For points on the x-axis,
$$y=0$$
Solution:
All points lying on the x-axis have a y-coordinate equal to zero.
Their x-coordinate may be positive, negative, or zero.
Therefore, the correct statement is:
Every point on the x-axis has
$$y=0$$
Important Formulas and Concepts
Ordered Pair
$$(x,y)$$
Origin
$$(0,0)$$
Point on X-axis
$$y=0$$
Point on Y-axis
$$x=0$$
Sign Convention of Quadrants
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. How do you identify whether a point lies on the x-axis?
Answer:
If the y-coordinate of a point is zero, the point lies on the x-axis.
$$(x,0)$$
Q. Which quadrant has both coordinates negative?
Answer:
The Third Quadrant contains points where both x-coordinate and y-coordinate are negative.
$$(-,-)$$
Q. Can the origin belong to any quadrant?
Answer:
No. The origin
$$(0,0)$$
is the intersection of the x-axis and y-axis and does not belong to any quadrant.
Common Mistakes Students Make
❌ Confusing the sign patterns of quadrants.
❌ Writing coordinates in reverse order.
❌ Assuming the origin belongs to the First Quadrant.
❌ Forgetting that points on the axes are not part of any quadrant.
❌ Mixing up the x-axis and y-axis while plotting points.
Quick Revision Notes
✔ Coordinates are represented as
$$(x,y)$$
✔ The first number is the x-coordinate.
✔ The second number is the y-coordinate.
✔ The origin is
$$(0,0)$$
✔ Points on the x-axis have
$$y=0$$
✔ Points on the y-axis have
$$x=0$$
✔ 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 contain fresh, non-repeated, concept-based questions. Regular practice of these MCQs will strengthen students’ understanding of coordinates, quadrants, and the Cartesian plane, helping them perform confidently in CBSE exams, state board examinations, school tests, Olympiads, and scholarship examinations.
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