SOLUTION OF PROBLEM: 5

Find the area enclosed by the curve |x| +|y| =1 (IC/M)

SOLUTION: The equation will have four different cases

x + y =1, when x>0 and y>0 ( we will draw x + y=1line & will take its part which is lying in Ist quadrant)

 x-y =1, when x>0 and y<0 ( we will draw x - y=1line & will take its part which is lying in IVth quadrant)

-x +y =1,when x<0 and y>0 ( we will draw -x + y=1line & will take its part which is lying in IInd quadrant)

-x -y =1,when x<0 and y<0 ( we will draw -x - y=1line & will take its part which is lying in IIIrd quadrant)

The enclosed figure will be a square of a side root(2).

Therefore, the area enclose will that of square that is 2 sq units