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# Which of the following points lies in the second quadrant?$A). (x, -y)$$B). (-x, -y)$$C). (-x, y)$$D). (x, y)$

Last updated date: 12th Aug 2024
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Since that plane is divided by a two-dimensional system it will divide four of equal parts, the quadrants are first quadrant which is in the right hand of the two-dimensional, since as follows by second quadrant, third quadrant and finally the fourth quadrant. And these equal quadrants are represented as the axes with $x - axis$ and $y - axis$ and they will contain different values and alternatives of positive and negative signs.
Since as you see in the right-hand side top is the first quadrant and it will consist of positive x and positive y axes, so the x and y both are positives in the $1^{st}$ quadrant. And the angle of the first quadrant is zero to ninety degree. Since as you see in the right-hand side below is the fourth quadrant and it will consist of positive x and negative y axes, so that it will be the fourth in the quadrant. And the angle of the fourth quadrant is two seventy to three sixty degrees. Also, the third quadrant contains both negatives which is the inverse of the first quadrant.
Therefore: in the second quadrant we clearly see that $C)( - x,y)$ is the lying point, and as all other options will be eliminated as per angles of quadrant and per positive, negative signs