A theif is running with speed of 10m//s ...

A theif is running with speed of `10m//s` along the line `y=10m`. The `x-y` plane is horizontal. A searchlight kept at the origin is always aimed at the theif. To do so its has to be continuosly rotated with some angular speed `omgea`. When the line joining the thief with origin is making an angle `theta=45^(@)` with the `y` axis, the value of `omega` is

`1 rad//s`

`2rad//s`

`(1)/(4)rad//s`

`(1)/(2)rad//s`

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