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Let [.] denote G.I.F. and tge0 and S={(x...

Let `[.]` denote G.I.F. and `tge0` and `S={(x,y):(x-T)^(2)+y^(2)leT^(2)` where `T=t-[t]}`. Then which of the following is/are INCORRECT?

A

the point `(0,0)` does not belong to `S` for an `t`

B

`S` is contained in the first quadrant for all `tgt5`

C

`0le` Area `Sltpi` for all `t`

D

the centre of `S` for any `t` is on the line `y=x`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
For ay fixed `tge0,0leTlt1`. Hence `S`, the interior of the circle with centre `(T,0)` and radius `T`, has an area between `0` and `pi`.
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