Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Area bouned by the region [x]^2=[y]^2 of x belongs to [1,5] (where [.] denotes the greatest integer function)
Hi Debadutta,
Let 1≤x<2. So [x] = 1.
And [y]^2 = 1 or [y] = ± 1.
means 1≤y<2 or -1≤y<0.
So in this region you will have two squares each of area 1 unit.
So when 1≤x<2 the area will be 2 sq units.
Similarly when 2≤x<3 the area = 2 sq untis
And 3≤x<4, area = 2 sq untis.
and 4≤x<5, area = 2 sq units.
So total area in the region would be 2+2+2+2 = 8 sq untis.
Regards,
Ashwin (IIT Madras).
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !