If x = 0 then the point is on the y-axis and so it not in any quadrant.
at the origin
If a point lies on the x-axis, then you know that the y-coordinate is zero.
An angle in a quadrant refers to an angle formed by a ray that originates from the origin of a coordinate plane and lies within one of the four quadrants. Each quadrant is defined by the x-axis and y-axis, and angles in a quadrant are measured in a counterclockwise direction from the positive x-axis. The measure of an angle in a quadrant typically ranges from 0 degrees to 90 degrees.
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
I) x>0 II) y>0 The first quadrant is the part of the coordinate plane where x and y are both positive. The above system states precisely that, and actually any point in the first quadrant is a solution to the above system of inequalities.
(0-5) lies in First Quadrant
(0, -3) is not in any quadrant. I lies on the border between two quadrants. Because zero is not positive or negative, it cannot be defined as in a quadrant
If the signs of the Cartesian coordinates are: (+, +) => first quadrant (-, +) => second quadrant (-, -) => third quadrant (+, -) => fourth quadrant. If one of the coordinates is 0 then the point is on an axis and NOT in a quadrant. If both coordinates are 0 then the point is at the origin. If the location of the point is given in polar coordinates, then you only need the angle. Suppose the principal angle is Φ, then 0 < Φ < 90 degrees => first quadrant 90 < Φ < 180 => second quadrant 180 < Φ < 270 => third quadrant 270 < Φ < 360 => fourth quadrant. Again, if the angle is 90, 180 etc degrees, the point is on an axis. If the magnitude is 0 then the point is at the origin.
III
at the origin
The point (8,0) is on an axis (abscissa axis or x-axis) and is therefore not in a quadrant.
If a point lies on the x-axis then by definition it is located at (x,0) ie the y coordinate is 0.If a point lies on the y-axis then it's located at (0,y) ie the x coordinate is 0.
what quadrant is (0,-15) in
The axes form the boundaries of the quadrants but not part of them. So points on the axes do not belong to any quadrant.
If a point lies on the y axis, then x=0
0
If a point lies on the x-axis, then you know that the y-coordinate is zero.