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Let log(a)N=alpha + beta where alpha i...

Let `log_(a)N=alpha + beta` where ` alpha ` is integer and ` beta =[0,1)`. Then , On the basis of above information , answer the following questions.
If `N_1` is number of integers when a=2 and `alpha=2` and `N_2` is number of integers when ` alpha=1 and a=3` , then the minimum value of `(N_1 sec^(2) theta +N_(2) "cosec"^2 theta )

A

`10+4sqrt(6)`

B

`10+sqrt(6)`

C

`10`

D

100

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The correct Answer is:
A
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