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If y=f(x) is satisfying differential equ...

If `y=f(x)` is satisfying differential equation `dy/dx=(x+y-2)/(x-y)` such that `y=f(x)` is passing through `(1,0) and (k+1,2)` then which of the following is correct

A

`ln(2+k^2)=2tan^-1(1/k)+pi`

B

`ln(1+k^2)=2tan^-1(1/k)+pi`

C

`ln(1+k^2)=2tan^-1(1/k)-pi`

D

`ln(2+k^2)=2tan^-1(1/k)-pi`

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