Question

Find the area enclosed in the first quadrant represented by the function [x] + y= 1 where [t] is the greatest integer less than or equal to x?

• A. 1
• B. 8
• C. Infinity
• D. 2
• E. 4

Answer 1

The correct option is A 1

Option (a)

For x=0 to x= 1 => y=1

When x=0.9999999, [x] = 0, thus y=1

Thus the area will be very close to, but slightly less than 1

Thus, the area enclosed in the first quadrant can be represented as follows

Required area= 1x1= 1