Plotting Points on the Cartesian Plane Practice Questions (original) (raw)

Last Updated : 13 Apr, 2026

Plotting points on the Cartesian plane is a fundamental skill in mathematics, particularly in coordinate geometry. This concept involves representing points using ordered pairs (x, y), where x is the horizontal coordinate and y is the vertical coordinate. Understanding how to plot points is crucial for visualizing relationships between variables and solving problems in algebra and calculus.

Plotting points on the Cartesian plane involves marking locations based on their coordinates in a two-dimensional space. The Cartesian plane is divided into four quadrants, with the x-axis and y-axis intersecting at the origin (0, 0).

Each point is represented by an ordered pair (x,y), where:

• x represents the distance from the y-axis (horizontal direction).
• y represents the distance from the x-axis (vertical direction).

Solved Questions with Solutions

**Question 1: Plot the point (3, 4) on the Cartesian plane.

The Locate 3 on the x-axis and 4 on the y-axis. The point (3,4) is where the vertical line from the x=3 intersects the horizontal line from y=4.

**Question 2: Plot the point (−2,−3).

The Locate −2 on the x-axis and −3 on the y-axis. The point (−2,−3) is in the third quadrant.

**Question 3: Plot the point (0, 5).

The point (0,5) is on the y-axis 5 units above the origin.

**Question 4: Plot the point (4, −2).

The Locate 4 on the x-axis and −2 on the y-axis. The point (4,−2) is in the fourth quadrant.

**Question 5: Plot the points (−3,0), (0,2), and (2, −1).

The (−3,0) is on the x-axis 3 units to the left of the origin. (0,2) is on the y-axis 2 units above the origin. (2, −1) is in the fourth quadrant.

**Question 6: Plot the point (5,−4) and describe its location.

The point (5,−4) is in the fourth quadrant 5 units to the right of origin and 4 units below the x-axis.

**Question 7: Plot the point (−1,3) and find its quadrant.

The point (−1,3) is in the second quadrant 1 unit to the left of origin and 3 units above the x-axis.

**Question 8: Plot the point (6,6).

The point (6,6) is in the first quadrant 6 units to right and 6 units above the origin.

**Question 9: Plot the point (0,−5) and its relation to the axes.

The point (0,−5) is on the y-axis 5 units below the origin.

**Question 10: Plot the point (−4,4).

The point (−4,4) is in the second quadrant 4 units to the left and 4 units above the origin.

Practice Problems

**Q1: Plot the point (7,2).

**Q2: Plot the point (−5,−6).

**Q3: Plot the point (3,0).

**Q4: Plot the point (0,−3).

**Q5: Plot the point (−2,4).

**Q6: Plot the point (1,−1).

**Q7: Plot the point (6,−3).

**Q8: Plot the point (−4,−2).

**Q9: Plot the point (0,0).

**Q10: Plot the point (8,7).