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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 plane, coordinates, quadrants, axes, 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 helps students understand how the position of a point can be represented using coordinates on the Cartesian plane. Students learn about ordered pairs, the x-axis, y-axis, origin, and the four quadrants. These concepts are fundamental for studying graphs, geometry, algebra, and many advanced mathematical topics in higher classes.
What You Will Learn?
✔ Cartesian Coordinate System
✔ Ordered Pairs
✔ X-axis and Y-axis
✔ Origin
✔ Identifying Quadrants
✔ Signs of Coordinates
✔ Plotting Points on a Graph
✔ NCERT Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry connects algebra with geometry and develops logical thinking and graph interpretation skills. It is an important chapter for school examinations and provides the foundation for future mathematical concepts such as linear equations, graphs, and analytic geometry.
Exam Relevance
These questions are useful for:
✔ CBSE School Exams
✔ State Board Exams
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship & Olympiad Exams
Q1. Which of the following points lies in the Second Quadrant?
A)
$$(5,4)$$
B)
$$(-8,3)$$
C)
$$(-6,-2)$$
D)
$$(7,-5)$$
Answer:
$$(-8,3)$$
Useful Formula for this Question:
A point lies in the Second Quadrant if
$$x<0,; y>0$$
Solution:
The point
$$(-8,3)$$
has
- Negative x-coordinate
- Positive y-coordinate
Therefore, it lies in the Second Quadrant.
Hence, the correct answer is
$$(-8,3)$$
Q2. The point
$$(12,0)$$
lies on:
A) Y-axis
B) X-axis
C) First Quadrant
D) Origin
Answer:
X-axis
Useful Formula for this Question:
Any point having
$$y=0$$
lies on the x-axis.
Solution:
The given point is
$$(12,0)$$
Since its y-coordinate is zero, it lies on the x-axis.
Hence, the correct answer is:
X-axis
Q3. Which of the following is the x-coordinate of the point
$$(-15,-9)$$
?
A)
$$-9$$
B)
$$15$$
C)
$$-15$$
D)
$$9$$
Answer:
$$-15$$
Useful Formula for this Question:
In
$$(x,y)$$
the first number represents the x-coordinate.
Solution:
The point is
$$(-15,-9)$$
The first number is
$$-15$$
Therefore, the x-coordinate is
$$-15$$
Hence, the correct answer is
$$-15$$
Q4. Which of the following statements is true?
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 y-axis has
$$x=0$$
D) Every point on the x-axis lies in the First Quadrant.
Answer:
$$\textbf{Every point on the y-axis has }x=0$$
Useful Formula for this Question:
For points on the y-axis,
$$x=0$$
Solution:
The x-coordinate of every point on the y-axis is always zero.
The y-coordinate can be positive, negative, or zero.
Therefore, the correct statement is:
Every point on the y-axis has
$$x=0$$
Q5. Which quadrant contains the point
$$(9,-11)$$
?
A) First Quadrant
B) Second Quadrant
C) Third Quadrant
D) Fourth Quadrant
Answer:
Fourth Quadrant
Useful Formula for this Question:
Fourth Quadrant contains points with
$$(+,-)$$
Solution:
The given point is
$$(9,-11)$$
Here,
- x-coordinate is positive.
- y-coordinate is negative.
Therefore, it lies in the Fourth Quadrant.
Hence, the correct answer is:
Fourth Quadrant
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
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. Can a point with one coordinate equal to zero lie in a quadrant?
Answer:
No. If either the x-coordinate or y-coordinate is zero, the point lies on one of the coordinate axes and not in any quadrant.
Q. Which coordinate is written first in an ordered pair?
Answer:
The x-coordinate is always written first, followed by the y-coordinate.
$$(x,y)$$
Q. Why is Coordinate Geometry important?
Answer:
Coordinate Geometry helps in locating points, drawing graphs, understanding geometric figures, and solving mathematical problems involving positions and distances. It is also useful in science, engineering, and computer graphics.
Common Mistakes Students Make
❌ Identifying the wrong quadrant because of incorrect signs.
❌ Writing the y-coordinate before the x-coordinate.
❌ Assuming points on the axes belong to a quadrant.
❌ Forgetting that the origin is neither in any quadrant nor on a single axis.
❌ Plotting points without checking positive and negative values.
Quick Revision Notes
✔ Coordinates are always written as
$$(x,y)$$
✔ The x-coordinate comes first.
✔ The y-coordinate comes second.
✔ The origin is
$$(0,0)$$
✔ On the x-axis,
$$y=0$$
✔ On the y-axis,
$$x=0$$
✔ Remember the sign pattern:
- First Quadrant → (+,+)
- Second Quadrant → (-,+)
- Third Quadrant → (-,-)
- Fourth Quadrant → (+,-)
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions –are based on the latest NCERT syllabus and include fresh, non-repeated, concept-based questions. Practising these MCQs will strengthen students’ understanding of the Cartesian plane, coordinates, axes, and quadrants while improving problem-solving skills for CBSE exams, state board examinations, school tests, Olympiads, and scholarship exams.
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