Lets now solve the MCQ questions for class 9 NCERT maths book chapter 3 Coordinate Geometry. We have 35 questions for this chapter for you to practice.
CBSE Class 9th Maths Important MCQs with Answers from Chapter 3 – Coordinate Geometry
Question 1. What is the name of the horizontal line in the Cartesian plane?
a) y-axis
b) z-axis
c) x-axis
d) origin
Answer:
c) x-axis – The horizontal line in the Cartesian plane is called the x-axis.
Question 2. The vertical line in the Cartesian plane is called the ___.
a) x-axis
b) y-axis
c) z-axis
d) quadrant
Answer:
b) y-axis – The vertical line is called the y-axis.
Question 3. The point where the x-axis and y-axis intersect is called the ___.
a) Midpoint
b) Origin
c) Centre
d) Vertex
Answer:
b) Origin – The intersection point is the origin (0, 0).
Question 4. The coordinates of the origin are ___.
a) (1, 1)
b) (0, 0)
c) (–1, 0)
d) (0, –1)
Answer:
b) (0, 0) – The origin has coordinates (0, 0).
Question 5. The coordinate axes divide the plane into how many quadrants?
a) 2
b) 3
c) 4
d) 5
Answer:
c) 4 – The axes divide the plane into four quadrants.
Question 6. In which quadrant will a point (–3, 4) lie?
a) I
b) II
c) III
d) IV
Answer:
b) II – Negative x and positive y coordinates lie in the 2nd quadrant.
Question 7. A point with coordinates (–2, –5) lies in which quadrant?
a) I
b) II
c) III
d) IV
Answer:
c) III – Both coordinates are negative in the 3rd quadrant.
Question 8. The coordinates of any point on the x-axis are of the form ___.
a) (x, y)
b) (x, 0)
c) (0, y)
d) (0, 0)
Answer:
b) (x, 0) – Points on the x-axis have ordinate = 0.
Question 9. The coordinates of any point on the y-axis are of the form ___.
a) (x, 0)
b) (0, y)
c) (0, 0)
d) (x, y)
Answer:
b) (0, y) – Points on the y-axis have abscissa = 0.
Question 10. The abscissa of a point is its distance from which axis?
a) x-axis
b) y-axis
c) z-axis
d) origin
Answer:
b) y-axis – Abscissa is distance from y-axis, measured along x-axis.
Question 11. The ordinate of a point is its distance from which axis?
a) y-axis
b) x-axis
c) z-axis
d) origin
Answer:
b) x-axis – Ordinate is distance from x-axis, measured along y-axis.
Question 12. The coordinates of point A(4, 0) show that it lies on the ___.
a) x-axis
b) y-axis
c) origin
d) I quadrant
Answer:
a) x-axis – Ordinate = 0 implies the point lies on x-axis.
Question 13. The coordinates of point B(0, –3) show that it lies on the ___.
a) x-axis
b) y-axis
c) II quadrant
d) IV quadrant
Answer:
b) y-axis – Abscissa = 0 implies the point lies on y-axis.
Question 14. Which of the following is correct about the point (5, –2)?
a) Lies on x-axis
b) Lies on y-axis
c) Lies in I quadrant
d) Lies in IV quadrant
Answer:
d) Lies in IV quadrant – x > 0, y < 0.
Question 15. The coordinates of the point M are (–3, 4). Its abscissa is ___.
a) –3
b) 4
c) 0
d) –4
Answer:
a) –3 – The x-coordinate (abscissa) is –3.
Question 16. The coordinates of the point S are (3, –4). Its ordinate is ___.
a) 3
b) –4
c) –3
d) 4
Answer:
b) –4 – The y-coordinate (ordinate) is –4.
Question 17. If the abscissa of a point is zero, the point lies on the ___.
a) x-axis
b) y-axis
c) origin
d) z-axis
Answer:
b) y-axis – x = 0 implies the point lies on y-axis.
Question 18. If the ordinate of a point is zero, the point lies on the ___.
a) x-axis
b) y-axis
c) origin
d) I quadrant
Answer:
a) x-axis – y = 0 implies the point lies on x-axis.
Question 19. The coordinates of point L(–5, –4) show it lies in which quadrant?
a) I
b) II
c) III
d) IV
Answer:
c) III – Both x and y negative implies 3rd quadrant.
Question 20. The coordinates of point P are (4, 3). Which quadrant does it lie in?
a) I
b) II
c) III
d) IV
Answer:
a) I – Both coordinates positive implies 1st quadrant.
Question 21. Which of the following pairs of coordinates represent different points?
a) (3, 4) and (4, 3)
b) (2, 2) and (2, 2)
c) (0, 3) and (0, 3)
d) (–1, –1) and (–1, –1)
Answer:
a) (3, 4) and (4, 3) – Order matters in coordinates.
Question 22. In which quadrant does the point (–7, 8) lie?
a) I
b) II
c) III
d) IV
Answer:
b) II – Negative x and positive y implies 2nd quadrant.
Question 23. The coordinates of point C(–5, 0) indicate it lies on the ___.
a) x-axis
b) y-axis
c) origin
d) II quadrant
Answer:
a) x-axis – y = 0 implies it lies on x-axis.
Question 24. The point (0, –6) lies on the ___.
a) x-axis
b) y-axis
c) I quadrant
d) III quadrant
Answer:
b) y-axis – x = 0 implies it lies on y-axis.
Question 25. Which of the following represents the coordinates of a point in the IV quadrant?
a) (–2, 3)
b) (–3, –4)
c) (4, –5)
d) (2, 2)
Answer:
c) (4, –5) – Positive x and negative y implies 4th quadrant.
Question 26. If x = y, then (x, y) = (y, x). For example, (2, 2) = ___.
a) (–2, –2)
b) (2, 2)
c) (0, 2)
d) (2, 0)
Answer:
b) (2, 2) – When x = y, (x, y) equals (y, x).
Question 27. The coordinate axes together with the quadrants form the ___ plane.
a) Cartesian
b) Euclidean
c) Parallel
d) Vector
Answer:
a) Cartesian – The plane is called the Cartesian plane.
Question 28. The sign of the coordinates in the 1st quadrant is ___.
a) (+, –)
b) (–, +)
c) (–, –)
d) (+, +)
Answer:
d) (+, +) – Both coordinates are positive in 1st quadrant.
Question 29. The sign of the coordinates in the 3rd quadrant is ___.
a) (+, –)
b) (–, +)
c) (–, –)
d) (+, +)
Answer:
c) (–, –) – Both coordinates are negative in 3rd quadrant.
Question 30. If a point lies on the positive y-axis, its coordinates will be of the form ___.
a) (x, 0)
b) (0, y) with y > 0
c) (0, –y)
d) (x, y) with x > 0
Answer:
b) (0, y) with y > 0 – Positive ordinate on y-axis.
Question 31. If a point lies on the negative x-axis, its coordinates will be of the form ___.
a) (–x, 0)
b) (0, –y)
c) (x, 0) with x > 0
d) (0, y) with y > 0
Answer:
a) (–x, 0) – Negative abscissa on x-axis.
Question 32. The coordinates of point D(0, –4) show that it lies on the ___.
a) x-axis
b) y-axis
c) II quadrant
d) IV quadrant
Answer:
b) y-axis – x = 0 implies the point lies on y-axis.
Question 33. Which of the following points lies in the II quadrant?
a) (3, –2)
b) (–3, 4)
c) (–4, –5)
d) (2, 2)
Answer:
b) (–3, 4) – Negative x and positive y implies 2nd quadrant.
Question 34. Which of the following points represents the origin?
a) (0, 0)
b) (1, 1)
c) (0, 1)
d) (1, 0)
Answer:
a) (0, 0) – The origin has coordinates (0, 0).
Question 35. Which of the following coordinates represent a point on both the axes?
a) (0, 0)
b) (2, 0)
c) (0, 3)
d) (–4, 0)
Answer:
a) (0, 0) – Only the origin lies on both axes.
Fill in the blanks on Coordinate Geometry for Class 9 Maths
1. The point where the x-axis and y-axis intersect is called the ___.
Answer:
Origin
2. The coordinates of the origin are ___.
Answer:
(0, 0)
3. The horizontal line in the Cartesian plane is called the ___.
Answer:
x-axis
4. The vertical line in the Cartesian plane is called the ___.
Answer:
y-axis
5. The plane formed by the coordinate axes is called the ___ plane.
Answer:
Cartesian
6. The x-coordinate of a point is also known as its ___.
Answer:
Abscissa
7. The y-coordinate of a point is also known as its ___.
Answer:
Ordinate
8. The coordinates of any point on the x-axis are of the form ___.
Answer:
(x, 0)
9. The coordinates of any point on the y-axis are of the form ___.
Answer:
(0, y)
10. A point with coordinates (–3, 4) lies in the ___ quadrant.
Answer:
Second
11. A point with coordinates (–5, –7) lies in the ___ quadrant.
Answer:
Third
12. A point with coordinates (6, –2) lies in the ___ quadrant.
Answer:
Fourth
13. The coordinates of point P are (4, 3). Here, the abscissa is ___ and the ordinate is ___.
Answer:
4, 3
14. The coordinates of point Q are (–6, –2). Here, the abscissa is ___ and the ordinate is ___.
Answer:
–6, –2
15. If the abscissa of a point is zero, the point lies on the ___.
Answer:
y-axis
16. If the ordinate of a point is zero, the point lies on the ___.
Answer:
x-axis
17. In the first quadrant, the signs of the coordinates are ___ and ___.
Answer:
Positive, Positive
18. In the third quadrant, the signs of the coordinates are ___ and ___.
Answer:
Negative, Negative
19. The coordinates of a point are written in the form ___.
Answer:
(x, y)
20. The coordinates (3, 4) and (4, 3) represent ___ points.
Answer:
Different
