GSEB Class 9 Maths Solutions Chapter 3 Coordinate Geometry Exercise 3.3

Question 1. In which quadrant or on which axis do each of the points (-2, 4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie? verify your answer by locating them on the Cartesian plane.
Answer: We can determine the quadrant or axis for each point by observing its coordinates. Then, we can verify our solution by plotting these points on a Cartesian plane.
The point \( (-2, 4) \) is located in the second quadrant.
The point \( (3, -1) \) is located in the fourth quadrant.
The point \( (-1, 0) \) sits on the negative x-axis.
The point \( (1, 2) \) is located in the first quadrant.
The point \( (-3, -5) \) is located in the third quadrant.
In simple words: Look at the signs of the x and y numbers to know which section or line each point falls into on the graph. The x-axis is horizontal, and the y-axis is vertical.

Exam Tip: Remember the sign conventions for each quadrant: I (+,+), II (-,+), III (-,-), IV (+,-). Points with a zero coordinate lie on an axis.

 

Question 2. Plot the points (x,y) given in the following table on the plane choosing suitable units of distance on the axes.

Answer: To plot these points, we will select a suitable unit of distance for both the x-axis and y-axis. Then, we will locate each ordered pair \( (x,y) \) on the Cartesian plane. The horizontal axis represents x-values, and the vertical axis represents y-values.
In simple words: First, pick a good scale for the graph lines. Then, find where each x and y number meet on the graph and mark that spot.

Exam Tip: Always label your axes and indicate the scale used. When plotting points with decimal values, estimate their position carefully between the grid lines.