Q 3080123017.     A vertical pole subtends an angle `\tan^{-1} (\frac {1}{2} )` at a point P on the ground. If the angles subtended by the upper half and the lower half of the pole at P are respectively `\alpha` and `\beta` then `(\tan \alpha, \tan \beta) =`

A

`(\frac {1}{4}, \frac {1}{5} )`

B

`(\frac {1}{5}, \frac {2}{9} )`

C

`(\frac {2}{9}, \frac {1}{4} )`

D

`(\frac {1}{4}, \frac {2}{9} )`

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