Question

Point (0,4) lies:
A. In 1 quadrant
B. On x-axis
C. On y-axis
D. In IV quadrant

Answer 1

Hint: We should recollect the concepts of the various components in a graph. There are four quadrants. So, first we will plot the point (0,4) by taking 4 units on the y-axis and 0 on the x-axis. Then, we will be able to identify where the point lies.

Complete step-by-step solution:
Given,
x coordinate= 0
y coordinate=4
In this question we have to find that in which quadrant the point \[\left( 0,4 \right)\] lies. To find its position we have to plot a graph and then it will become clear where this point lies. The graph will be drawn by placing the dot at origin and then moving it according to the given coordinates. When we plot the graph, we will take x-axis in horizontal direction and y-axis in vertical direction.
The graph for this question will be as follows:

To plot a graph, we will place a dot at origin, then as our x-coordinate is 0 so we move the dot 0 units in x-direction. In the same way, as our y-coordinate is 4 units so we move the dot 4 points on the y-axis in a positive direction. The dot will give the position of point \[\left( 0,4 \right)\].
As we can see that the point \[\left( 0,4 \right)\]is placed on y-axis,
Therefore, option (c) will be the correct answer.

Note: We have to keep in mind that both the x and y axes are not included in the quadrants. As we have plotted the point \[\left( 0,4 \right)\], it is not in any quadrant, as it is on the y-axis. Sometimes, abscissa and ordinates are given to plot a graph. So, we should know that abscissa refers to the x-axis and it can be also defined as the distance of a point from the y-axis. In the same way, ordinate refers to the y-axis and it can be defined as the distance of a point from the x-axis.