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Practice Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers based on the latest NCERT syllabus. Solve fresh, unique NCERT-based MCQs on ordered pairs, coordinate axes, quadrants, origin, 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:
Coordinate Geometry is an important chapter that introduces students to the Cartesian plane, where every point is represented by an ordered pair of numbers. Students learn how to identify coordinates, locate points, recognize quadrants, and understand the relationship between algebra and geometry. Mastering this chapter makes graph-based mathematical problems much easier.
What You Will Learn?
✔ Cartesian Coordinate System
✔ Ordered Pair
✔ Coordinates of a Point
✔ Origin
✔ X-axis and Y-axis
✔ Four Quadrants
✔ Plotting Points
✔ NCERT & Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry provides the foundation for graph-related mathematics and analytical geometry. It enhances logical reasoning and visualization skills, which are useful in mathematics, science, engineering, architecture, and computer graphics.
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 First Quadrant?
A)
$$(-5,9)$$
B)
$$(8,6)$$
C)
$$(7,-4)$$
D)
$$(-3,-8)$$
Answer:
$$(8,6)$$
Useful Formula for this Question:
A point lies in the First Quadrant if
$$x>0,;y>0$$
Solution:
The point
$$(8,6)$$
has both coordinates positive.
Therefore, it lies in the First Quadrant.
Hence, the correct answer is
$$(8,6)$$
Q2. Which of the following ordered pairs has zero y-coordinate?
A)
$$(0,5)$$
B)
$$(-6,4)$$
C)
$$(11,0)$$
D)
$$(-3,-9)$$
Answer:
$$(11,0)$$
Useful Formula for this Question:
If
$$y=0$$
the point lies on the x-axis.
Solution:
The point
$$(11,0)$$
has y-coordinate equal to zero.
Therefore, it lies on the x-axis.
Hence, the correct answer is
$$(11,0)$$
Q3. The point
$$(-9,-10)$$
lies in:
A) First Quadrant
B) Second Quadrant
C) Third Quadrant
D) Fourth Quadrant
Answer:
Third Quadrant
Useful Formula for this Question:
Third Quadrant contains points with
$$(-,-)$$
Solution:
The point
$$(-9,-10)$$
has
- Negative x-coordinate
- Negative y-coordinate
Therefore, it lies in the Third Quadrant.
Hence, the correct answer is:
Third Quadrant
Q4. Which coordinate is written first in an ordered pair?
A) Y-coordinate
B) Origin
C) X-coordinate
D) Quadrant
Answer:
X-coordinate
Useful Formula for this Question:
Coordinates are written in the form
$$(x,y)$$
Solution:
The first value in an ordered pair represents the x-coordinate, while the second value represents the y-coordinate.
Hence, the correct answer is:
X-coordinate
Q5. Which of the following statements is incorrect?
A) The origin is represented by
$$(0,0)$$
B) The x-axis is horizontal.
C) The y-axis is vertical.
D) Every point on the x-axis has
$$x=0$$
Answer:
Every point on the x-axis has
$$x=0$$
Useful Formula for this Question:
For any point on the x-axis,
$$y=0$$
Solution:
The x-coordinate of a point on the x-axis may be positive, negative, or zero.
Only the y-coordinate is always zero.
Therefore, the statement
Every point on the x-axis has
$$x=0$$
is incorrect.
Hence, the correct answer is:
Every point on the x-axis has
$$x=0$$
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 Coordinates in Quadrants
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. What is an ordered pair?
Answer:
An ordered pair is written in the form
$$(x,y)$$
where the first number is the x-coordinate and the second number is the y-coordinate.
Q. Which axis is horizontal in the Cartesian plane?
Answer:
The x-axis is the horizontal axis of the Cartesian plane.
Q. What is the sign of coordinates in the Fourth Quadrant?
Answer:
In the Fourth Quadrant,
$$x>0,;y<0$$
or simply
$$(+,-)$$
Common Mistakes Students Make
❌ Forgetting that the x-coordinate is written first.
❌ Confusing the sign pattern of the quadrants.
❌ Assuming points on the axes belong to a quadrant.
❌ Mixing up the x-axis and y-axis.
❌ Plotting points without checking both coordinates carefully.
Quick Revision Notes
✔ Coordinates are written as
$$(x,y)$$
✔ The x-coordinate is written first.
✔ The y-coordinate is written second.
✔ The origin is
$$(0,0)$$
✔ On the x-axis,
$$y=0$$
✔ On the y-axis,
$$x=0$$
✔ Quadrant sign pattern:
- First → (+,+)
- Second → (-,+)
- Third → (-,-)
- Fourth → (+,-)
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions –are based on the latest NCERT syllabus and contain fresh, non-repeated, concept-based questions. Regular practice of these MCQs will improve students’ understanding of the Cartesian plane, ordered pairs, quadrants, and coordinate axes while enhancing their problem-solving skills for CBSE exams, state board examinations, school assessments, Olympiads, and scholarship exams.
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