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Q.

State whether the given statement is true or false:

The y – axis is the vertical number line.

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a

True

b

False  

answer is A.

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Detailed Solution

The given statement is true.
Concept- We will solve this question by defining the characteristics of y-axis and then contrast it to the number line. And any line, whether vertical or horizontal, that meets the definition of a number line and it can be represented as one.
First, we will represent how the graph appears below:
Question ImageIn this figure we have noticed that the y-axis consists of all the points as we have noticed on any number line.
In mathematics, a number line is a straight line with numbers arranged in equal segments or intervals across its length. The standard representation of a number line is horizontal and it can be extended indefinitely in any direction.
Now it is stated clearly in the definition that the number line can be extended indefinitely in any direction, all of the number line’s properties match up with the properties of the y-axis.
Thus, it implies that the y-axis is a vertical number line. So the given state
Hence, the correct answer is option 1) true
 
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