every point x-axis is at a distance of zero units from y- axis
Answers
Every point x-axis is at a distance of zero units from y- axis is known as abscissa of a point
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The statement Every point x- axis is at a distance of zero units from y- axis is False
Correct question : Every point x- axis is at a distance of zero units from y- axis - True or false the statement
Given :
The statement Every point x- axis is at a distance of zero units from y- axis
To find :
True or false the statement
Solution :
Step 1 of 2 :
Write down the given statement
Here the given statement is "Every point x- axis is at a distance of zero units from y- axis"
Step 2 of 2 :
Mark True or false the statement
We know that in two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant
1. Quadrant I : Both the x - coordinates and y - coordinates are positive
2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive
3. Quadrant III : Both the x - coordinates and y - coordinates are negative
4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative
Now if a point P lies on x axis then the point P will be of the form (x, 0) where x is a real number
Abscissa of the point = Distance from y axis = x
Ordinate of the point = Distance from x axis = 0
For example , for the point (2,0)
The point lies on x axis which is at a distance of 2 units from y axis
Similarly for the point (10,0)
The point lies on x axis which is at a distance of 10 units from y axis
Hence the given statement is False
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