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Practice Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers based on the latest NCERT syllabus. Solve unique NCERT-based MCQs on quadrants, axes, coordinates, plotting points, and Cartesian plane 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:
The chapter Coordinate Geometry introduces students to a graphical way of representing points using ordered pairs. By understanding the Cartesian plane, students learn to locate points accurately and identify their positions based on the signs of their coordinates. These concepts are widely used in mathematics, science, engineering, and computer graphics.
What You Will Learn?
✔ Cartesian Plane
✔ Coordinates of Points
✔ Ordered Pairs
✔ X-axis and Y-axis
✔ Four Quadrants
✔ Signs of Coordinates
✔ Plotting and Identifying Points
✔ NCERT Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry forms the foundation of graph-based mathematics. It improves logical thinking and helps students understand the relationship between numbers and geometric figures. Strong knowledge of this chapter is essential for higher classes and competitive examinations.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad Preparation
Q1. The point
$$(-6,0)$$
lies on:
A) Y-axis
B) X-axis
C) Origin
D) Second Quadrant
Answer:
X-axis
Useful Formula for this Question:
A point lies on the x-axis if
$$y=0$$
Solution:
The given point is
$$(-6,0)$$
Its y-coordinate is
$$0$$
Therefore, it lies on the x-axis.
Hence, the correct answer is:
X-axis
Q2. Which of the following points lies in the Fourth Quadrant?
A)
$$(-2,5)$$
B)
$$(-4,-3)$$
C)
$$(7,-6)$$
D)
$$(5,8)$$
Answer:
$$(7,-6)$$
Useful Formula for this Question:
Fourth Quadrant contains points with
$$(+,-)$$
Solution:
The point
$$(7,-6)$$
has a positive x-coordinate and a negative y-coordinate.
Therefore, it lies in the Fourth Quadrant.
Hence, the correct answer is
$$(7,-6)$$
Q3. In the ordered pair
$$(-8,9)$$
the y-coordinate is:
A)
$$-8$$
B)
$$9$$
C)
$$8$$
D)
$$0$$
Answer:
$$9$$
Useful Formula for this Question:
For any point
$$(x,y)$$
the second number represents the y-coordinate.
Solution:
The ordered pair is
$$(-8,9)$$
The second number is
$$9$$
Therefore, the y-coordinate is
$$9$$
Hence, the correct answer is
$$9$$
Q4. Which quadrant contains the point
$$(-9,-2)$$
?
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
$$(-9,-2)$$
has both coordinates negative.
Therefore, it lies in the Third Quadrant.
Hence, the correct answer is:
Third Quadrant
Q5. Which of the following points lies on the y-axis?
A)
$$(5,0)$$
B)
$$(0,-8)$$
C)
$$(3,6)$$
D)
$$(-7,5)$$
Answer:
$$(0,-8)$$
Useful Formula for this Question:
A point lies on the y-axis if
$$x=0$$
Solution:
Among the given options, only
$$(0,-8)$$
has
$$x=0$$
Therefore, it lies on the y-axis.
Hence, the correct answer is
$$(0,-8)$$
Important Formulas and Concepts
Ordered Pair
$$(x,y)$$
where
- First value = x-coordinate
- Second value = y-coordinate
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. How many quadrants are there in the Cartesian plane?
Answer:
The Cartesian plane is divided into four quadrants by the x-axis and y-axis.
Q. Can a point on the x-axis belong to any quadrant?
Answer:
No. A point on the x-axis does not belong to any quadrant because its y-coordinate is zero.
Q. What are the coordinates of the origin?
Answer:
The coordinates of the origin are
$$(0,0)$$
where both the x-coordinate and y-coordinate are zero.
Common Mistakes Students Make
❌ Confusing the x-coordinate with the y-coordinate.
❌ Forgetting the signs of the quadrants.
❌ Assuming points on the axes belong to a quadrant.
❌ Plotting points without checking positive and negative values.
❌ Writing ordered pairs incorrectly.
Quick Revision Notes
✔ The Cartesian plane has four quadrants.
✔ Coordinates are written as
$$(x,y)$$
✔ The x-coordinate comes first.
✔ The y-coordinate comes second.
✔ Points on the x-axis have
$$y=0$$
✔ Points on the y-axis have
$$x=0$$
✔ The origin is
$$(0,0)$$
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions – Practice Set 2 are prepared according to the latest NCERT syllabus and include fresh, non-repeated, concept-based questions. Regular practice will improve students’ understanding of coordinates, quadrants, and plotting points, helping them perform confidently in CBSE exams, state board examinations, school assessments, and scholarship tests.
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