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.
at the origin
-1
No because some points can lie in the y & x-axises. Also no because 0y and 0x don't lie in any quadrant because 0 is the origin.
False. The axes and the origin are not in any quadrant.
Quadrant I
at the origin
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.
In quadrant II, the x-value is negative and the y-value is positive. Since the point is 5 units from the origin, the x-coordinate will be -5. The point is also 4 units from the origin in the y-direction, making the y-coordinate 4. Therefore, the point is located at (-5, 4).
If a point is not in a quadrant, it means that its coordinates do not place it in one of the four quadrants defined in the Cartesian plane. The quadrants are determined by the signs of the x and y coordinates: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), and Quadrant IV (positive, negative). A point could be located on one of the axes (x-axis or y-axis) or at the origin (0,0), which are not considered part of any quadrant.
(3, -3)
A point is located in quadrant IV if its coordinates have a positive x-value and a negative y-value. For example, the point (3, -2) lies in quadrant IV because the x-coordinate is positive (3) and the y-coordinate is negative (-2). In this quadrant, points are found to the right of the origin and below the x-axis.
-1
Point R, with coordinates (5, -9), is located in the fourth quadrant. In this quadrant, the x-coordinates are positive, while the y-coordinates are negative. Thus, R is positioned to the right of the origin and below the x-axis.
No because some points can lie in the y & x-axises. Also no because 0y and 0x don't lie in any quadrant because 0 is the origin.
In which quadrant is the point (-5, 6)
The point (1,3) is located in the first quadrant.
False. The axes and the origin are not in any quadrant.