If xy>0, then the points of P(x,y) lies...

Answer:
In Quadrant I or III
Step-by-step explanation:
We know if the sign was not showing closed inequality facing other way
xy < 0 would be in the 2nd or 4th quadrant.
If xy = 0 then either xy or both are on the x or y axis
But if xy>0 then they are in quadrant I or III
If xy>0, then the points of P(x,y) lies in Quadrant I and III
According to the given condition;
This means that the product of x and y is a positive number.
Hence, either both x and y-coordinates are positive or are both negative
Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.
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