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Question

Question: The distance of a point from the \(Y-\) axis is called its \(y-\) coordinate. True or False...

The distance of a point from the YY- axis is called its yy- coordinate. True or False

Explanation

Solution

Here we have been given a statement on the coordinate of a point and we have to tell whether it is true or false. Firstly we will write the definition of coordinate system and what are their axes and coordinates. Then we will check whether the given statement holds true according to our definitions and get our desired answer.

Complete step by step answer:
We have to tell whether the distance of a point from the YY- axis is called its yy- coordinate or not. So firstly a coordinate system is used to locate the position of any points which can be plotted as an ordered pair known as coordinates. The horizontal line is known as the XX- axis and the vertical line is known as YY- axis and the point at which the two lines intersect is known as the origin. The basic representation of it is as follows,

The distance of a point from the YY- axis is known as the abscissa and it is the xx- coordinate. The distance of a point from the XX- axis is known as the ordinate and it is the yy- coordinate.So the distance of a point from the YY- axis is called its xx- coordinate.

Hence the given statement is False.

Note: For explaining the two widely used topics of mathematics known as “Algebra” and “Geometry” the concept of Cartesian plane of coordinate system was introduced. When two number lines are placed together mutually perpendicular the coordinate axis is formed.The coordinate represents the position of points in the line. The term ordinate and abscissa represent the value of the yy axis and the xx axis respectively.