Suppose 3 sin^(-1) ( log (2) x) + cos^(-...

Suppose `3 sin^(-1) ( log _(2) x) + cos^(-1) ( log _(2) y) =pi //2` and `sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi //6`. then the value of `1/x^(2) + 1/y^(2)` equals .

A

6

B

7

C

5

D

`7/2`

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The correct Answer is:

A

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