Find online multiple-choice questions (MCQs) for Class 9 Maths Chapter 3 on Coordinate Geometry. These questions come with answers and clear explanations. They’re designed following the latest exam format for Class 9. Practicing these questions can help students do well in their exams. All questions are based on the CBSE syllabus for 2024-2025 and follow NCERT guidelines. Don’t forget to also review the Important Questions and Extra questions for Class 9 Maths .
MCQs on Class 9 Maths Chapter 3 Coordinate Geometry
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
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)
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)
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
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)
