Welcome To My School Study
Practice Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers based on the latest NCERT syllabus. Solve unique NCERT-based multiple-choice questions on Cartesian plane, coordinates, origin, quadrants, x-axis, y-axis, and plotting points with detailed solutions for CBSE and state board exams.
Do You Know
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 one of the most interesting chapters in Class 9 Mathematics. It introduces students to the Cartesian coordinate system, where the position of a point is represented using an ordered pair of numbers. Students learn about the x-axis, y-axis, origin, quadrants, and plotting points on a graph. This chapter forms the foundation for advanced geometry and graph-related concepts studied in higher classes.
What You Will Learn?
✔ Cartesian Coordinate System
✔ Origin, X-axis and Y-axis
✔ Coordinates of a Point
✔ Ordered Pair
✔ Four Quadrants
✔ Signs of Coordinates
✔ Plotting Points on the Cartesian Plane
✔ NCERT and Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry helps students understand the relationship between numbers and geometric figures. It develops logical thinking, visualization skills, and accuracy in locating points on a graph. Questions from this chapter are commonly asked in school examinations and provide a strong foundation for higher mathematics.
Exam Relevance
These questions are useful for:
✔ CBSE Board Pattern
✔ State Board Exams
✔ School Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad & Scholarship Preparation
Q1. The point whose coordinates are
$$(0,0)$$
is called:
A) X-axis
B) Y-axis
C) Origin
D) Quadrant
Answer:
Origin
Useful Formula for this Question:
The origin is represented by
$$(0,0)$$
Solution:
The point where the x-axis and y-axis intersect is known as the origin.
Its coordinates are
$$(0,0)$$
Hence, the correct answer is:
Origin
Q2. In the ordered pair
$$(5,-3)$$
the x-coordinate is:
A)
$$-3$$
B)
$$5$$
C)
$$3$$
D)
$$0$$
Answer:
$$5$$
Useful Formula for this Question:
For any point
$$(x,y)$$
the first number represents the x-coordinate.
Solution:
The given point is
$$(5,-3)$$
The first number is
$$5$$
Therefore, the x-coordinate is
$$5$$
Hence, the correct answer is
$$5$$
Q3. Which quadrant contains the point $$(-4,6)$$ ?
A) First Quadrant
B) Second Quadrant
C) Third Quadrant
D) Fourth Quadrant
Answer:
Second Quadrant
Useful Formula for this Question:
Quadrant signs are:
First:
$$(+,+)$$
Second:
$$(-,+)$$
Third:
$$(-,-)$$
Fourth:
$$(+,-)$$
Solution:
The given point is
$$(-4,6)$$
Here,
- x-coordinate is negative.
- y-coordinate is positive.
Therefore, the point lies in the Second Quadrant.
Hence, the correct answer is:
Second Quadrant
Q4. A point lying on the y-axis always has:
A)
$$x=0$$
B)
$$y=0$$
C)
$$x=y$$
D)
$$x=1$$
Answer:
$$x=0$$
Useful Formula for this Question:
For every point on the y-axis,
$$x=0$$
Solution:
Any point on the y-axis has no horizontal distance from the origin.
Therefore,
$$x=0$$
while the value of y may be positive, negative, or zero.
Hence, the correct answer is
$$x=0$$
Q5. Which of the following points lies on the x-axis?
A)
$$(0,7)$$
B)
$$(-2,5)$$
C)
$$(8,0)$$
D)
$$(-3,4)$$
Answer:
$$(8,0)$$
Useful Formula for this Question:
For every point on the x-axis,
$$y=0$$
Solution:
Among the given options, only
$$(8,0)$$
has
$$y=0$$
Therefore, this point lies on the x-axis.
Hence, the correct answer is
$$(8,0)$$
Important Formulas and Concepts
Coordinates of a Point
$$(x,y)$$
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 in Four Quadrants
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. What is Coordinate Geometry?
Answer:
Coordinate Geometry is the branch of mathematics that uses coordinates to represent the position of points on a plane. It combines algebra and geometry to study geometric figures.
Q. What is the origin in the Cartesian plane?
Answer:
The origin is the point where the x-axis and y-axis intersect. Its coordinates are
$$(0,0)$$
Q. How do you identify the x-coordinate of a point?
Answer:
In an ordered pair
$$(x,y)$$
the first number always represents the x-coordinate, while the second number represents the y-coordinate.
Common Mistakes Students Make
❌ Writing the coordinates in the wrong order.
❌ Confusing the x-axis with the y-axis.
❌ Forgetting the sign of coordinates while identifying quadrants.
❌ Plotting points in the incorrect quadrant.
❌ Assuming every point with zero belongs to both axes.
Quick Revision Notes
✔ Coordinates are written as
$$(x,y)$$
✔ The first number represents the x-coordinate.
✔ The second number represents the y-coordinate.
✔ The origin is
$$(0,0)$$
✔ A point on the x-axis has
$$y=0$$
✔ A point on the y-axis has
$$x=0$$
✔ Remember the signs of all four quadrants before plotting points.
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions –are designed according to the latest NCERT syllabus and contain unique, concept-based questions for effective exam preparation. Regular practice of these MCQs will improve students’ understanding of coordinate geometry, strengthen their graph-reading skills, and build confidence for CBSE exams, state board exams, school tests, and scholarship examinations.
Related Links
- Class 9 Maths Chapter 2 Polynomials part 11
- Class9 Maths Chapter2 Polynomials part 10
- Class 9 Maths Chapter 2 Polynomials – Part 9
- Class 9 Maths Chapter 2 Polynomials degree of polynomial – Part 8
- Class 9 Maths Chapter 2 Polynomials – Part 7
- Class 9 Maths Chapter 2 Polynomials degree of polynomial – Part 6
- Class 9 Maths Chapter 2 Polynomials coefficients MCQ – Part 5
- Class 9 Maths Chapter 2 Polynomials, value of polynomials – Part 4
- Class 9 Maths Chapter 2 Polynomials constant polynomial – Part 3
- Class 9 Maths Chapter 2 Polynomials MCQ with solutuins – Part 2
- Class 9 Maths Chapter 1 Number Systems, irrational numbers
Latest Posts
- Who was Isaac Newton? – Life, Discoveries, Laws of Motion & Gravity
- Class 9 Maths Chapter 3 Coordinate Geometry
- Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
Join Our Other Communities
Instagram , Youtube , Facebook
