0
In general, any point that falls on the axes, is not considered to be in
any quadrant. This answer is used in most HS texts since it is simple and "works."
However, you can define things so that a point with
a single zero coordinate will either
(1) be common to the two adjacent quadrants, or
(2) be part of one and only one quadrant.
Here is how to do the second choice.
associate the
positive x-axis with quadrant I, the positive y-axis with quadrant II,
the negative x-axis with quadrant III, and the negative y-axis with
quadrant IV. Then what do we do about (0,0)? This is why the first answer works and if most often used. The other possibilities are only mentioned so you can see they exists.
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Identify the quadrant in which the point x y lies if x 0 and y?
If x = 0 then the point is on the y-axis and so it not in any quadrant.
What does it mean when the x coordinate or y coordinate of a point is 0?
When the X - Coordinate is 0: The point lies on Y - Axis. Eg. (0,3) lies on Y - Axis Eg. (0,5) lies on Y - Axis Eg. (0,1) lies on Y - Axis When the Y - Coordinate is 0: The point lies on X - Axis. Eg. (2,0) lies on X - Axis Eg. (3,0) lies on X - Axis Eg. (6,0) lies on X - Axis
In which quadrant is the point of origin?
The point of origin is not in any quadrant. In fact, any point on the X or Y axis is not in a quadrant. In order for a point to be in Q1, Q2, Q3 or Q4, it must not be on an axis.
When a point lies on the x-axis what do you know about its y-coordinate when a point lies on the y-axis what do you know about the x-coordinate?
They are zero.They are zero.They are zero.They are zero.
What do you know about the y- coordinate of a point that lies on the x-axis?
If a point lies on the x-axis, then you know that the y-coordinate is zero.
