1.

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?

Answer»

the point `(0,0)` does not belong to `S` for an `t`
`S` is contained in the FIRST quadrant for all `tgt5`
`0le` Area `Sltpi` for all `t`
the centre of `S` for any `t` is on the line `y=x`

Solution :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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