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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 ordered pairs, quadrants, Cartesian plane, coordinates, axes, and plotting points with detailed solutions for CBSE and state board 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:
Coordinate Geometry provides a systematic way to locate points on a plane using ordered pairs. Students learn about the Cartesian coordinate system, the x-axis, y-axis, origin, and quadrants. Understanding these concepts is essential for solving graph-based problems and forms the basis for advanced topics in mathematics.
What You Will Learn?
✔ Cartesian Coordinate System
✔ Ordered Pairs
✔ X-axis and Y-axis
✔ Origin
✔ Signs of Coordinates
✔ Identifying Quadrants
✔ Plotting Points Accurately
✔ NCERT and Board Exam Concepts
Why This Topic Is Important?
This chapter helps students develop analytical and visualization skills. Coordinate Geometry is widely used in mathematics, physics, engineering, computer graphics, and navigation. It also serves as a foundation for higher-level geometry and graph-related concepts.
Exam Relevance
These questions are useful for:
✔ CBSE School Exams
✔ State Board Exams
✔ Unit Tests
✔ Half-Yearly Examinations
✔ Annual Examinations
✔ Olympiad & Scholarship Exams
Q1. Which of the following points lies in the First Quadrant?
A)
$$(-5,2)$$
B)
$$(4,7)$$
C)
$$(6,-3)$$
D)
$$(-2,-6)$$
Answer:
$$(4,7)$$
Useful Formula for this Question:
A point lies in the First Quadrant if
$$x>0,; y>0$$
Solution:
The point
$$(4,7)$$
has both coordinates positive.
Therefore, it lies in the First Quadrant.
Hence, the correct answer is
$$(4,7)$$
Q2. The point
$$(0,9)$$
lies on:
A) X-axis
B) Third Quadrant
C) Y-axis
D) Fourth Quadrant
Answer:
Y-axis
Useful Formula for this Question:
A point lies on the y-axis if
$$x=0$$
Solution:
The x-coordinate of the point
$$(0,9)$$
is zero.
Hence, the point lies on the y-axis.
Therefore, the correct answer is:
Y-axis
Q3. Which of the following ordered pairs has a negative x-coordinate and a positive y-coordinate?
A)
$$(5,-4)$$
B)
$$(-7,8)$$
C)
$$(3,6)$$
D)
$$(-2,-5)$$
Answer:
$$(-7,8)$$
Useful Formula for this Question:
Second Quadrant contains points with
$$(-,+)$$
Solution:
The point
$$(-7,8)$$
has
- Negative x-coordinate
- Positive y-coordinate
Hence, it lies in the Second Quadrant.
Therefore, the correct answer is
$$(-7,8)$$
Q4. What is the y-coordinate of the point
$$(11,-15)$$
?
A)
$$11$$
B)
$$15$$
C)
$$-15$$
D)
$$0$$
Answer:
$$-15$$
Useful Formula for this Question:
For any point
$$(x,y)$$
the second number is the y-coordinate.
Solution:
The given point is
$$(11,-15)$$
The second value is
$$-15$$
Hence, the y-coordinate is
$$-15$$
Therefore, the correct answer is
$$-15$$
Q5. Which statement is correct about the Cartesian Plane?
A) It has two origins.
B) It has only one axis.
C) It is formed by two perpendicular number lines.
D) It contains only positive coordinates.
Answer:
It is formed by two perpendicular number lines.
Useful Formula for this Question:
The Cartesian plane consists of:
- One horizontal axis (x-axis)
- One vertical axis (y-axis)
Both intersect at
$$(0,0)$$
Solution:
The Cartesian plane is formed when the x-axis and y-axis intersect each other at right angles.
This intersection point is called the origin.
Hence, the correct answer is:
It is formed by two perpendicular number lines.
Important Formulas and Concepts
Coordinates of a Point
$$(x,y)$$
Origin
$$(0,0)$$
Point on X-axis
$$y=0$$
Point on Y-axis
$$x=0$$
Signs in Different Quadrants
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. What is an ordered pair?
Answer:
An ordered pair is a pair of numbers written in the form
$$(x,y)$$
where the first number represents the x-coordinate and the second number represents the y-coordinate.
Q. Why is the order of coordinates important?
Answer:
Changing the order changes the position of the point. For example,
$$(2,5)$$
and
$$(5,2)$$
represent two different points.
Q. How can we identify the quadrant of a point?
Answer:
The quadrant depends on the signs of the x-coordinate and y-coordinate:
- First: (+,+)
- Second: (-,+)
- Third: (-,-)
- Fourth: (+,-)
Common Mistakes Students Make
❌ Reversing the x-coordinate and y-coordinate.
❌ Forgetting the signs of coordinates while identifying quadrants.
❌ Assuming every point belongs to a quadrant.
❌ Confusing the x-axis with the y-axis.
❌ Incorrectly plotting points on the graph.
Quick Revision Notes
✔ Coordinates are written 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
$$x=0$$
✔ The Cartesian plane is divided into four quadrants.
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions are carefully designed according to the latest NCERT syllabus. The questions are unique, concept-oriented, and free from repetition, making them ideal for CBSE and state board exam preparation. Regular practice of these MCQs will strengthen students’ understanding of coordinate geometry, improve accuracy in identifying coordinates and quadrants, and build confidence for school exams, Olympiads, and scholarship tests.
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