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.
(3, -3)
-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.
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.
The origin.
Quadrant I
Given a set of points, (x1, y1), (x2, y2), etc. Take the absolute value of each point's x and y values, and replace those. Take the inverse point of each point, e.x. (x1, y1) -> (y1, x1) Apply the signs that correspond to the quadrant counterclockwise of the quadrant the point was in. e.x. (3, 5) is in the First Quadrant. The Second Quadrant is counterclockwise of the First, so we will have the x-value of the point negative: (-3, 5). Do that for all points.
In the 1st quadrant