Question

How many lines are there which are parallel to X - axis and having distance $5$ units ?

Answer 1

Hint: We will draw a graph with x and y axes. Plot all the points from $0$ at intervals of $1cm$ which is the standard procedure on both the axes. Label all the axes and points. Both the axes are symmetrical in nature. Then we draw lines parallel to the x-axis at $5$ units’ distance.

Complete step-by-step solution:

First we will draw the x and y axes and label the points with numbers.

Now we can plot a line $5$ units parallel to x-axis.

One parallel line will be $5$ units above the x – axis and other parallel line will be $5$ units below the x – axis.

The graph will be as follows:

From the graph, it is clear that there are total $2$ lines parallel to the x-axis at a distance of $5$units.

Therefore, $2$ lines are there which are parallel to the X - axis and have a distance of $5$ units.

Note: Whenever we are asked to find the number of lines parallel to any axis, the answer will always be $2$ lines at the same distance because both the axes act as a number line which ranges from $[-\mathrm{\infty },\mathrm{\infty }]$. So, if we are asked to find the number of lines at a distance of $5$ units parallel to y – axis, then the number of lines will be $2$, as there is one line to the right and one line to the left of y-axis at a distance of $5$ units parallel to y – axis.