© examsiri.com
Question : 163 of 180
Marks:
+1,
-0
Solution:
We have,
‌x+y=1‌∀x,y≥0 . . . (i)
‌‌−x+y=1‌∀x<0,y≥0 . . . (ii)
‌‌−x−y=1‌∀x<0,y<0 . . . (iii)
‌x−y=1‌∀x≥0,y<0 . . . (iv)
Required area is the area of shaded region
‌=4‌(1−x)‌dx‌=4[x−‌]01=4×‌=2‌ sq. units ‌
© examsiri.com
Go to Question: