Question

For a given point P(x,y), in which quadrant the value of (x + y) is minimum?

• A. I Quadrant
• B. II Quadrant
• C. III Quadrant
• D. IV Quadrant

Answer 1

The correct option is C III Quadrant

Let any point be P(5, 3). The point P in I quadrant is (5, 3). The point P in II quadrant is (-5, 3). The point P in III quadrant is (-5, -3). The point P in IV quadrant is (5, -3).
The sum of (x + y) i.e. the sum of abscissa and ordinate for the quadrant I, II, III, IV is 8, -2, -8, 2 respectively. Therefore, the value of (x + y) is minimum in the III quadrant.
The coordinates of the points are always negative in the III quadrant so their sum will always be minimum if compared to the sum of coordinates in the other quadrants.