Class 9 Maths Coordinate Geometry Worksheet — Free Printable PDF
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⭐ MeritMate — Class 9 Maths: Coordinate Geometry
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. The point (0, -5) lies on the:
a) Positive x-axis
b) Negative x-axis
c) Positive y-axis
d) Negative y-axis
Q2. The coordinates of the origin are:
a) (1, 1)
b) (0, 1)
c) (0, 0)
d) (1, 0)
Q3. The point (-3, 4) lies in which quadrant?
a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV
Q4. If the x-coordinate of a point is zero, the point lies on the:
a) x-axis
b) y-axis
c) Origin
d) Quadrant II
Q5. The distance of the point (4, -3) from the x-axis is:
a) 4 units
b) -3 units
c) 3 units
d) 5 units
Section B: Fill in the Blanks
Q6. The horizontal line in a Cartesian plane is called the ________.
Q7. The point (7, 0) lies on the ________.
Q8. In the coordinate (x, y), x is called the ________ and y is called the ordinate.
Q9. The two axes divide the plane into four parts called ________.
Q10. A point with a negative x-coordinate and a negative y-coordinate lies in Quadrant ________.
Section C: Short Answer Questions
Q11. Plot the points A(2, 3), B(-1, 3) and C(-1, -2) on a coordinate plane. State the quadrant in which each point lies.
Q12. Write the coordinates of a point that lies on both the x-axis and y-axis. What is this point called?
Q13. The coordinates of two points are P(3, 5) and Q(3, -5). In which quadrants do they lie? What do you notice about their x-coordinates?
Q14. Find the distance of the point (-6, 8) from the origin using the distance formula.
Q15. A point lies in Quadrant III and is at a distance of 5 units from the x-axis and 7 units from the y-axis. Write the coordinates of the point.
⭐ Answer Key
Class 9 · Maths · Coordinate GeometryAnswer Key
Q1. d) Negative y-axis
Q2. c) (0, 0)
Q3. b) Quadrant II
Q4. b) y-axis
Q5. c) 3 units
Q6. x-axis
Q7. x-axis (positive x-axis)
Q8. abscissa
Q9. quadrants
Q10. III
Q11. Point A(2, 3) lies in Quadrant I since both coordinates are positive. Point B(-1, 3) lies in Quadrant II since x is negative and y is positive. Point C(-1, -2) lies in Quadrant III since both coordinates are negative. Students should mark these three points accordingly on the Cartesian plane.
Q12. The coordinates of the point that lies on both axes are (0, 0). This point is called the origin. It is the intersection point of the x-axis and y-axis and is the reference point for measuring all coordinates in the Cartesian plane.
Q13. Point P(3, 5) lies in Quadrant I because both x and y coordinates are positive. Point Q(3, -5) lies in Quadrant IV because x is positive and y is negative. Both points have the same x-coordinate equal to 3. This means they lie on the same vertical line, which is parallel to the y-axis, at a distance of 3 units from it.
Q14. Using the distance formula, distance from origin = square root of (x squared + y squared).
Distance = square root of ((-6) squared + (8) squared)
= square root of (36 + 64)
= square root of 100
= 10 units
Therefore, the point (-6, 8) is 10 units away from the origin.
Q15. In Quadrant III, both x and y coordinates are negative. The distance from the x-axis gives the absolute value of the y-coordinate, which is 5. The distance from the y-axis gives the absolute value of the x-coordinate, which is 7. Since the point is in Quadrant III, both values are negative. Therefore, the coordinates of the point are (-7, -5).
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