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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.

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โˆ™ 2010-06-20 09:15:27
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Q: How can you tell the quadrant in which a point is located without refferring to the graph?
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