Intersection of 1 and 2 quadrant is null why?

Answer 1

a line divides a plane into three disjoint sets.

The three disjoint sets are:

1.greater than the line.

2.less than the line.

3. the line itself.

in rectangular co-ordinate system,

the Y-axis divides the plane as x>0,y>0

x=o&y>0

x<0&y>0

all the above ones are disjoint.

since intersection of disjoint sets is null set,

therefore,quadrant 1 intersection quadrant 2 is null.

Answer 2

The intersection of the first and second quadrant on a Cartesian plane is null because the first quadrant consists of points with positive x and y coordinates, while the second quadrant consists of points with negative x and positive y coordinates. There are no points that satisfy both conditions simultaneously, resulting in an empty intersection. This is due to the nature of the coordinate system and the definitions of the quadrants based on the signs of the coordinates.