Lets now solve the MCQ questions for class 9 NCERT maths book chapter 3 Coordinate Geometry. We have 25 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. What are the coordinates of the origin?
a) (0, 0)
b) (1, 0)
c) (0, 1)
d) (1, 1)
Answer:
a) (0, 0) — The origin is the point where the x-axis and y-axis intersect, which is (0, 0).
Question 3. Which quadrant does the point (-3, 5) lie in?
a) First
b) Second
c) Third
d) Fourth
Answer:
b) Second — In the second quadrant, x is negative and y is positive, as with (-3, 5).
Question 4. If a point lies on the y-axis, what is its x-coordinate?
a) 1
b) 0
c) -1
d) Any positive number
Answer:
b) 0 — Any point on the y-axis has an x-coordinate of 0.
Question 5. What is the abscissa of the point (7, -4)?
a) 7
b) -4
c) 0
d) None of these
Answer:
a) 7 — The abscissa (x-coordinate) of a point is the first number in the ordered pair, which is 7.
Question 6. What is the ordinate of the point (-2, 6)?
a) -2
b) 6
c) 0
d) None of these
Answer:
b) 6 — The ordinate (y-coordinate) of a point is the second number in the ordered pair, which is 6.
Question 7. Which part of the Cartesian plane has coordinates of the form (+, -)?
a) First quadrant
b) Second quadrant
c) Third quadrant
d) Fourth quadrant
Answer:
d) Fourth quadrant — In the fourth quadrant, x is positive and y is negative, resulting in (+, -) coordinates.
Question 8. Which of the following points lies in the third quadrant?
a) (-4, 5)
b) (3, -6)
c) (-3, -2)
d) (2, 1)
Answer:
c) (-3, -2) — In the third quadrant, both x and y coordinates are negative.
Question 9. If a point lies on the x-axis, what is its y-coordinate?
a) 1
b) 0
c) -1
d) Any negative number
Answer:
b) 0 — Any point on the x-axis has a y-coordinate of 0.
Question 10. What are the coordinates of a point located 5 units away from the y-axis in the positive x-direction and 3 units above the x-axis?
a) (5, 3)
b) (-5, 3)
c) (3, 5)
d) (-3, -5)
Answer:
a) (5, 3) — The point is 5 units in the positive x-direction (x = 5) and 3 units above the x-axis (y = 3).
Question 11. In which quadrant does the point (4, -7) lie?
a) First
b) Second
c) Third
d) Fourth
Answer:
d) Fourth — In the fourth quadrant, x is positive and y is negative, as with (4, -7).
Question 12. What is the distance of the point (0, 5) from the x-axis?
a) 5 units
b) 0 units
c) -5 units
d) None of these
Answer:
a) 5 units — The distance of a point from the x-axis is the absolute value of its y-coordinate, which is 5.
Question 13. What are the coordinates of a point on the y-axis that is 7 units below the x-axis?
a) (7, 0)
b) (0, -7)
c) (0, 7)
d) (-7, 0)
Answer:
b) (0, -7) — A point on the y-axis has an x-coordinate of 0, and being below the x-axis gives a negative y-coordinate.
Question 14. What are the coordinates of a point located in the first quadrant with an abscissa of 8 and an ordinate of 6?
a) (8, 6)
b) (6, 8)
c) (-8, 6)
d) (-6, -8)
Answer:
a) (8, 6) — In the first quadrant, both coordinates are positive, so the point is (8, 6).
Question 15. Which of the following statements is true about the origin?
a) The origin lies in the first quadrant.
b) The origin has coordinates (1, 1).
c) The origin divides the Cartesian plane into two equal parts.
d) The origin is the intersection of the x-axis and y-axis.
Answer:
d) The origin is the intersection of the x-axis and y-axis — The origin (0, 0) is where the two axes meet.
Question 16. What are the signs of the coordinates in the second quadrant?
a) (+, +)
b) (-, +)
c) (-, -)
d) (+, -)
Answer:
b) (-, +) — In the second quadrant, x is negative and y is positive.
Question 17. Which axis does the point (5, 0) lie on?
a) x-axis
b) y-axis
c) Both x-axis and y-axis
d) None of these
Answer:
a) x-axis — A point with y-coordinate 0 lies on the x-axis.
Question 18. Which axis does the point (0, -3) lie on?
a) x-axis
b) y-axis
c) Both x-axis and y-axis
d) None of these
Answer:
b) y-axis — A point with x-coordinate 0 lies on the y-axis.
Question 19. What are the coordinates of a point located 10 units in the negative x-direction and 4 units below the x-axis?
a) (10, 4)
b) (-10, -4)
c) (-4, -10)
d) (4, 10)
Answer:
b) (-10, -4) — The point is 10 units in the negative x-direction (x = -10) and 4 units below the x-axis (y = -4).
Question 20. Which of the following points lies in the first quadrant?
a) (-2, -3)
b) (3, -4)
c) (4, 5)
d) (-4, 5)
Answer:
c) (4, 5) — In the first quadrant, both coordinates are positive, as with (4, 5).
Question 21. What is the distance of the point (-7, 0) from the origin?
a) 7 units
b) -7 units
c) 0 units
d) None of these
Answer:
a) 7 units — The distance of a point from the origin is the absolute value of its x-coordinate or y-coordinate if one is zero, which is 7.
Question 22. Which of the following points has equal abscissa and ordinate?
a) (3, -3)
b) (-4, -4)
c) (2, 5)
d) (5, -5)
Answer:
b) (-4, -4) — The point (-4, -4) has equal x and y coordinates.
Question 23. If the coordinates of a point are (-3, 0), which statement is correct?
a) It lies in the first quadrant.
b) It lies on the y-axis.
c) It lies on the x-axis.
d) It lies in the third quadrant.
Answer:
c) It lies on the x-axis — A point with y-coordinate 0 lies on the x-axis.
Question 24. What is the perpendicular distance of the point (5, -3) from the y-axis?
a) 5 units
b) 3 units
c) 8 units
d) None of these
Answer:
a) 5 units — The distance of a point from the y-axis is the absolute value of its x-coordinate, which is 5.
Question 25. Which quadrant does the point (-6, -7) lie in?
a) First
b) Second
c) Third
d) Fourth
Answer:
c) Third — In the third quadrant, both x and y coordinates are negative, as with (-6, -7).
