Last Updated on May 15, 2025 by XAM CONTENT
Understanding the key concepts of Class 9 Maths Chapter 3 – Coordinate Geometry is crucial for exam success. To make your revision easier, we have created chapterwise mcq questions with Answers for class 9 Maths based on the latest syllabus and exam pattern. It is a part of MCQ Questions for CBSE Class 9 Maths Series.
These multiple-choice questions will help you assess your knowledge, improve accuracy, and boost confidence for your exams. Whether you are preparing for school tests, online tests or competitive exams, these Coordinate Geometry MCQs will strengthen your conceptual clarity.
| Chapter | Coordinate Geometry |
| Book | Maths Textbook for Class 9 |
| Type of Questions | MCQ Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class [Class] Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 9 Maths Chapterwise MCQ Questions |
MCQ Questions on Coordinate Geometry Class 9 Maths (PDF Download)
MCQs
Q1. If the point A(3, k) lies on the x-axis, what is the value of k?
(a) 3
(b) 0
(c) –3
(d) Cannot be determined
Show Answer
Answer: (b)
Explanation: Any point on the x-axis has a y-coordinate of 0.
Q2. A point lies in the second quadrant and is equidistant from both axes. What can be its coordinates?
(a) (3, –3)
(b) (–4, 4)
(c) (5, 5)
(d) (–5, –5)
Show Answer
Answer: (b)
Explanation: In second quadrant: x is negative, y is positive and |x| = |y|.
Q3. If the coordinates of a point are (x, x), then the point always lies on:
(a) x-axis
(b) y-axis
(c) Line y = x
(d) Line x = y + 1
Show Answer
Answer: (c)
Explanation: When x = y, the point lies on line y = x.
Q4. Which of the following points lies exactly halfway between (2, 3) and (6, 7)?
(a) (4, 5)
(b) (3, 5)
(c) (5, 4)
(d) (2, 2)
Show Answer
Answer: (a)
Explanation: Midpoint formula: ((2+6)/2, (3+7)/2) = (4, 5)
Q5. The coordinates of a point are (x, –x) and it lies in the fourth quadrant. Which of the following is true?
(a) x < 0
(b) x > 0
(c) x = 0
(d) Cannot be determined
Show Answer
Answer: (b)
Explanation: In fourth quadrant: x > 0, y < 0. For y = –x, x must be positive.
Q6. If the abscissa and ordinate of a point are equal in magnitude but opposite in sign, then the point lies on:
(a) x-axis
(b) y = x
(c) y = –x
(d) y = 0
Show Answer
Answer: (c)
Explanation: If x = –y, the point lies on line y = –x.
Q7. The point (a, b) lies in the third quadrant. Which of the following must be true?
(a) a > 0 and b > 0
(b) a < 0 and b > 0
(c) a > 0 and b < 0
(d) a < 0 and b < 0
Show Answer
Answer: (d)
Explanation: In the third quadrant, both x and y coordinates are negative.
Q8. Which of the following points has the largest distance from the origin?
(a) (3, 4)
(b) (5, 0)
(c) (0, –6)
(d) (–2, –5)
Show Answer
Answer: (c)
Explanation: Use distance formula √(x² + y²). (0, –6) gives √36 = 6, which is maximum here.
Q9. A student claims that point (–3, –4) lies in the second quadrant. What mistake did the student make?
(a) Wrong abscissa
(b) Wrong ordinate
(c) Misidentified quadrant
(d) Used origin as reference
Show Answer
Answer: (c)
Explanation: (–3, –4) lies in third quadrant, not second.
Q10. What is the reflection of point (3, –2) in the y-axis?
(a) (–3, 2)
(b) (–3, –2)
(c) (3, 2)
(d) (2, –3)
Show Answer
Answer: (b)
Explanation: Reflection in y-axis changes x-coordinate’s sign: (–3, –2)
Q11. A point lies on both axes. What can you conclude?
(a) Its abscissa is 1
(b) Its ordinate is 1
(c) It lies at the origin
(d) It lies in all quadrants
Show Answer
Answer: (c)
Explanation: Only the origin lies on both axes.
Q12. If a point lies on y-axis and 5 units below x-axis, what are its coordinates?
(a) (0, –5)
(b) (–5, 0)
(c) (5, 0)
(d) (0, 5)
Show Answer
Answer: (a)
Explanation: On y-axis, x = 0. 5 units below x-axis means y = –5.
Q13. If point A(x, y) lies in the first quadrant and distance from x-axis = 7, then:
(a) y = 7
(b) x = 7
(c) x = –7
(d) y = –7
Show Answer
Answer: (a)
Explanation: Distance from x-axis is |y| = 7. In 1st quadrant, y is positive.
Q14. Which of the following coordinates does not lie in the Cartesian plane?
(a) (3, 4)
(b) (0, 0)
(c) (∞, 0)
(d) (–3, 2)
Show Answer
Answer: (c)
Explanation: Infinite is not a valid coordinate; all coordinates must be real numbers.
Q15. A point has equal distance from both axes and lies in third quadrant. What are its coordinates?
(a) (5, 5)
(b) (–4, –4)
(c) (–2, 2)
(d) (3, –3)
Show Answer
Answer: (b)
Explanation: In 3rd quadrant, both coordinates are negative and equal.
Q16. The distance of (x, y) from the origin is 13 units and x = 5. What is y?
(a) 12
(b) –12
(c) ±12
(d) ±5
Show Answer
Answer: (c)
Explanation: √(5² + y²) = 13 ⟹ y² = 169 – 25 = 144 ⟹ y = ±12
Q17. The point (–7, 0) lies:
(a) In the first quadrant
(b) On the y-axis
(c) On the x-axis
(d) In the third quadrant
Show Answer
Answer: (c)
Explanation: y = 0 implies point lies on the x-axis.
Q18. Which of the following points lies farthest from the origin?
(a) (6, 8)
(b) (5, 12)
(c) (9, 0)
(d) (–7, –7)
Show Answer
Answer: (b)
Explanation: Use distance formula. (5² + 12²) = 169 ⟹ 13 units, which is largest.
Q19. Which of the following statements is false?
(a) All points on y-axis have x = 0
(b) All points on x-axis have y = 0
(c) The origin lies in the first quadrant
(d) Points in second quadrant have negative x and positive y
Show Answer
Answer: (c)
Explanation: Origin lies at the intersection of axes, not in any quadrant.
Q20. What is the distance between points A(2, 3) and B(–2, 3)?
(a) 4
(b) 6
(c) 2√2
(d) 5
Show Answer
Answer: (a)
Explanation: Distance = √[(–2 – 2)² + (3 – 3)²] = √[16] = 4
We hope the given mcq questions with Answers for Coordinate Geometry Class 9 helps you in your learning.
Also check
- Introduction to Euclid’s Geometry – Class 9 Maths Chapter 5 MCQ Questions with Answers (Updated)
- Linear Equations in Two Variables – Class 9 Maths Chapter 4 MCQ Questions with Answers (Updated)
- Coordinate Geometry – Class 9 Maths Chapter 3 MCQ Questions with Answers (Updated)
- Polynomials – Class 9 Maths Chapter 2 MCQ Questions with Answers (Updated)
- Number Systems – Class 9 Maths Chapter 1 MCQ Questions with Answers (Updated)
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Topics from which mcq questions may be asked
- Cartesian plane
- Coordinates of a point
- Plotting points
Coordinate geometry helps us locate and describe positions in space mathematically.
Frequently Asked Questions (FAQs) on Coordinate Geometry MCQ Questions
Q1: What are MCQ questions in Class 9 Maths?
A1: MCQ (Multiple Choice Questions) in Class 9 Maths are objective-type questions where students choose the correct answer from four options. They test conceptual understanding, application, and reasoning skills.
Q2: Are these Class 9 Maths MCQs based on the latest CBSE syllabus?
A2: Yes, all MCQ questions provided are strictly based on the latest CBSE Class 9 Maths syllabus and follow the current NCERT textbook.
Q3: Are Class 9 Maths MCQ questions useful for board exam preparation?
A3: Yes, practicing MCQ questions helps build strong conceptual understanding and improves performance in school tests, Olympiads, and board-level competency assessments.
Q4: Do these MCQs include answers and explanations?
A4: Absolutely. Each MCQ question includes the correct answer along with a detailed explanation to help students understand the concept behind the question.
Q5: Where can I find the best MCQ questions for Class 9 Maths?
A5: You can find high-quality, CBSE-based MCQ questions for Class 9 Maths on trusted educational websites like xamcontent.com. These include chapterwise, topicwise, and competency-based questions aligned with the latest syllabus
Q6: Are there any resources available online for students to practice mcq questions on class 9 maths chapter 3 “Coordinate Geometry“ for CBSE exams?
A6: Yes, several educational websites offer mcq questions for CBSE students preparing for science examinations. We also offer a collection of mcq questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. for more mcq, you can also visit Physics Gurukul Website.
