Quadrant is a sector of two-dimensional cartesian coordinate system and the axes of two dimensional cartesian system divides the plane into four infinite regions called 'quadrants' because of (0, 0) intersection point of the x-axis and y-axis. The intersection point is called the origin.
Quadrants from 1 to 4 are numbered in roman numerals, starts at the positive x-axis and going around anti-clockwise.

First quadrant on a graph will be on the top right and is known as the upper right quadrant. Points in the first quadrant lies between zero to positive infinity for both the x and y axis (x > 0, y > 0). So the product of the coordinates( first quadrant) [(+) x * (+)y] is positive .
Second quadrant is known as the upper left quadrant. In second quadrant, the values of 'x' will be negative and values of 'y' will be positive (x < 0, y > 0). The points A = (-6, 8), B = (-2, 4), c = (-5, 4) and D = (-11, 15) are in second quadrant. The product of these coordinates( Second Quadrant) [(-)x * (+)y] is negative.
Third quadrant is the lower left quadrant and the points will be less than zero for both the x axis and y axis (x < 0, y < 0). The product of these coordinates [(-)x * (-)y] is always positive. The points A = (-5, -2), B = (-2, -1), C = (-5, -7) are in third quadrant.
Quadrant 4 is the lower right quadrant in the coordinate system having 'x' value as positive and 'y' value as negative (x > 0, y < 0). The product of these coordinates [(-)x * (+)y] is negative. The points A = (5, -8), B =(2, -2 ), C = (8, -3) are in fourth quadrant.