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.
No the x-axis and y-axis are not in any quadrant. They go between quadrants.
Points on the x-axis or y-axis are not in any quadrant. Therefore, (-3,0) is not contained in a quadrant.
It has 2 lines of symmetry
At what point does line represented by the equation 8x + 4y = -4 intersects the y-axis, and at what point in the negative direction of x-axis.
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.
The point (8,0) is on an axis (abscissa axis or x-axis) and is therefore not in a quadrant.
If x = 0 then the point is on the y-axis and so it not in any 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.
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.
1
no, they are both positive.
No the x-axis and y-axis are not in any quadrant. They go between quadrants.
It won't be located on any of the axis. It would be said to be on x-axis or on y-axis (or) it would be said to be the origin accordingly.
Points on the x-axis or y-axis are not in any quadrant. Therefore, (-3,0) is not contained in a quadrant.
there is quadrant 1 , quadrant 2 , quadrant 3 , and quadrant 4
Everything above the x-axis and to the right of the y-axis is called the "First Quadrant". At every point in this quadrant, 'x' and 'y' are both positive (or zero).