Let y = y(x) be the solution of the diff...

Let y = y(x) be the solution of the differential equation `(x tan (y/x))dy=(ytan((y)/(x))-x)dx -1 le x le 1`, y `((1)/(2)) = (pi)/(6)`. Then the area of the region bounded by the curves x = 0, x = `(1)/(sqrt(2)) and y = y(x)` in the upper half plane is :

A

`1/8(pi-1)`

B

`1/6(pi-1)`

C

`1/12(pi-1)`

D

`1/4(pi-1)`

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The correct Answer is:

A

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