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By Karan Singh Bisht
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Updated on 2 Sep 2025, 13:11 IST
Class 9 Maths Chapter 3 – Coordinate Geometry MCQs are available here for practice. These objective-type questions come with answers and detailed explanations to help students understand concepts clearly.
Prepared strictly as per the latest CBSE exam pattern and NCERT guidelines (2025–2026), these MCQs are designed to strengthen exam preparation. By solving them regularly, Class 9 students can boost confidence and improve their scores in the final exams.
We have included a set of selective and important questions from this chapter to ensure focused revision. Students are also encouraged to check other important MCQs for Class 9 Maths to cover the syllabus thoroughly.
Students can try the multiple-choice questions below to improve their problem-solving abilities. Each question has four options, and students should pick the correct one.
Q1. The point (3, 4) lies in which quadrant?
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
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Answer: A) Quadrant I
Q2. The coordinates of the origin are:
A) (0, 0)
B) (1, 1)
C) (0, 1)
D) (1, 0)
Answer: A) (0, 0)
Q3. Which axis is horizontal in a Cartesian plane?
A) Y-axis
B) X-axis
C) Origin
D) Quadrant
Answer: B) X-axis
Q4. The distance between the points (2, 3) and (4, 7) is:
A) 2 units
B) 4 units
C) 5 units
D) 6 units
Answer: D) 6 units
Q5. The midpoint of the line segment joining (2, 4) and (6, 8) is:
A) (4, 6)
B) (3, 6)
C) (5, 7)
D) (4, 7)
Answer: A) (4, 6)
Q6. The x-coordinate of a point lies on the y-axis is:
A) 0
B) 1
C) -1
D) Undefined
Answer: A) 0
Q7. The y-coordinate of a point lies on the x-axis is:
A) 0
B) 1
C) -1
D) Undefined
Answer: A) 0
Q8. The coordinates of the point which lies on the y-axis and is 3 units away from the origin are:
A) (0, 3)
B) (0, -3)
C) (3, 0)
D) (-3, 0)
Answer: B) (0, -3)
Q9. The coordinates of the point which lies on the x-axis and is 5 units away from the origin are:
A) (5, 0)
B) (-5, 0)
C) (0, 5)
D) (0, -5)
Answer: A) (5, 0)
Q10. If the point (x, y) lies on the x-axis, then y-coordinate is:
A) 0
B) x
C) 1
D) -x
Answer: A) 0
Q11. The coordinates of the point which lies on the y-axis and is equidistant from the origin and x-axis are:
A) (0, 1)
B) (1, 0)
C) (0, -1)
D) (-1, 0)
Answer: A) (0, 1)
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Q12. The coordinates of the point which lies on the x-axis and is equidistant from the origin and y-axis are:
A) (0, 1)
B) (1, 0)
C) (0, -1)
D) (-1, 0)
Answer: B) (1, 0)
Q13. The point (a, b) is reflected over the y-axis, its image is:
A) (-a, b)
B) (a, -b)
C) (-a, -b)
D) (b, a)
Answer: A) (-a, b)
Q14. The point (a, b) is reflected over the x-axis, its image is:
A) (-a, b)
B) (a, -b)
C) (-a, -b)
D) (b, a)
Answer: B) (a, -b)
Q15. The point (a, b) is reflected over the origin, its image is:
A) (-a, -b)
B) (a, b)
C) (-b, -a)
D) (b, a)
Answer: A) (-a, -b)
Also Check: CBSE Worksheets for Class 9 Maths
Q16. The coordinates of a point P are (2, 3). If the point is moved 3 units to the right and 2 units down, its new coordinates will be:
A) (5, 1)
B) (3, 5)
C) (1, 5)
D) (5, 3)
Answer: A) (5, 1)
Q17. The coordinates of a point Q are (5, 7). If the point is moved 2 units to the left and 4 units up, its new coordinates will be:
A) (3, 3)
B) (7, 11)
C) (3, 11)
D) (7, 3)
Answer: A) (3, 3)
Q18. The coordinates of a point R are (4, 6). If the point is reflected over the y-axis, its image will be:
A) (-4, 6)
B) (4, -6)
C) (-4, -6)
D) (6, 4)
Answer: A) (-4, 6)
Q19. The coordinates of a point S are (3, 5). If the point is reflected over the x-axis, its image will be:
A) (3, -5)
B) (-3, 5)
C) (3, 5)
D) (-3, -5)
Answer: A) (3, -5)
Q20. The coordinates of a point T are (1, 2). If the point is reflected over the origin, its image will be:
A) (-1, 2)
B) (1, -2)
C) (-1, -2)
D) (2, 1)
Answer: C) (-1, -2)
Q21. The point (3, 4) is the midpoint of which line segment?
A) (1, 2) and (5, 6)
B) (2, 3) and (4, 5)
C) (0, 0) and (6, 8)
D) (2, 4) and (4, 8)
Answer: A) (1, 2) and (5, 6)
Q22. The coordinates of the midpoint of the line segment joining (a, b) and (c, d) are:
A) ((a+c)/2, (b+d)/2)
B) ((a-c)/2, (b-d)/2)
C) ((c-a)/2, (d-b)/2)
D) ((a+c)/2, (d-b)/2)
Answer: A) ((a+c)/2, (b+d)/2)
Q23. The slope of the line passing through the points (2, 3) and (4, 7) is:
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Q24. The slope of a horizontal line is:
A) 0
B) 1
C) Undefined
D) Infinite
Answer: A) 0
Q25. The slope of a vertical line is:
A) 0
B) 1
C) Undefined
D) Infinite
Answer: C) Undefined
Q26. The equation of the line passing through the point (2, 3) with slope 4 is:
A) y = 4x – 5
B) y = 4x + 1
C) y = 4x – 1
D) y = 4x + 5
Answer: B) y = 4x + 1
Q27. The equation of the line passing through the points (1, 2) and (3, 4) is:
A) y = x
B) y = 2x
C) y = x + 1
D) y = x – 1
Answer: A) y = x
Q28. The equation of the x-axis is:
A) y = 0
B) x = 0
C) y = 1
D) x = 1
Answer: A) y = 0
Q29. The equation of the y-axis is:
A) y = 0
B) x = 0
C) y = 1
D) x = 1
Answer: B) x = 0
Q30. The coordinates of the point of intersection of the lines y = 2x + 3 and y = -x + 1 are:
A) (1, 2)
B) (-1, 2)
C) (1, -2)
D) (-1, -2)
Answer: B) (-1, 2)
Q31. The coordinates of the point of intersection of the lines y = 3x + 2 and y = 2x – 1 are:
A) (1, 5)
B) (-1, 5)
C) (1, -5)
D) (-1, -5)
Answer: A) (1, 5)
Q32. The equation of the line parallel to the x-axis passing through the point (2, 4) is:
A) y = 2
B) y = 4
C) x = 2
D) x = 4
Answer: B) y = 4
Q33. The equation of the line parallel to the y-axis passing through the point (3, 5) is:
A) y = 3
B) y = 5
C) x = 3
D) x = 5
Answer: C) x = 3
Q34. The equation of the line perpendicular to the line y = 2x + 3 passing through the point (1, 2) is:
A) y = -2x + 4
B) y = -2x + 1
C) y = -x + 4
D) y = -x + 1
Answer: B) y = -2x + 1
Q35. The equation of the line perpendicular to the line y = -3x + 2 passing through the point (2, 3) is:
A) y = 3x + 1
B) y = 3x + 2
C) y = x + 1
D) y = x + 2
Answer: A) y = 3x + 1
Q36. If the point (x, y) lies on the line 2x + 3y = 6, then:
A) 2x + 3y = 6
B) x + y = 3
C) x – y = 6
D) x + 2y = 6
Answer: A) 2x + 3y = 6
Q37. If the point (a, b) lies on the line y = mx + c, then:
A) a = mb + c
B) b = ma + c
C) a = b + mc
D) b = a + mc
Answer: B) b = ma + c
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Q38. If the point (x, y) lies on the line ax + by = c, then:
A) ax + by = c
B) x + y = c/a
C) x – y = c/a
D) x + y = a/c
Answer: A) ax + by = c
Q39. If the points (x1, y1) and (x2, y2) lie on the line y = mx + c, then:
A) m = (y2-y1)/(x2-x1)
B) m = (x2-x1)/(y2-y1)
C) c = y1-mx1
D) c = y2-mx2
Answer: A) m = (y2-y1)/(x2-x1)
Q40. If the points (x1, y1) and (x2, y2) lie on the line ax + by = c, then:
A) a = (y2-y1)/(x2-x1)
B) b = (x2-x1)/(y2-y1)
C) c = a(x1+x2)/2 + b(y1+y2)/2
D) a = (x2-x1)/(y2-y1)
Answer: A) a = (y2-y1)/(x2-x1)
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There are four quadrants, labeled I to IV, each representing different sign combinations of (x, y).
That point is called the Origin, and its coordinates are (0, 0).
Its y-coordinate (ordinate) is always 0, since it lies on the x-axis.
Since abscissa is negative and ordinate positive, (–3, 5) lies in Quadrant II.
The distance is simply the absolute value of its y-coordinate, which is 5 units.