Surveying
For any star to be a circumpolar star, its

Declination must be 0°
Distance from the pole must be less than the latitude of the observer
Hour angle must be 180°
Declination must be 90°

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Surveying
If altitude bubble is provided both on index frame as well as on telescope of a theodolite, then the instrument is levelled with reference toi) altitude bubble on index frameii) altitude bubble on index frame if it is to be used as a leveliii) altitude bubble on telescopeiv) altitude bubble on telescope if it is to be used as a level The correct answer is

only (i)
both (ii) and (iii)
only (iii)
both (i) and (iv)

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