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If sin (y/x) = loge |x| | (alpha)/2 is t...

If `sin (y/x) = log_e |x| | (alpha)/2` is the solution of the differential equation `x cos (y/x) (dy)/(dx) = y cos (y/x) + x` and `y(1) = (pi)/3`, then `alpha^2` is equal to

A

3

B

12

C

4

D

9

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The correct Answer is:
A
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