The solution of (dy)/(dx)=((x-1)^2+(y-2)...

The solution of `(dy)/(dx)=((x-1)^2+(y-2)^2tan^(- 1)((y-2)/(x-1)))/((x y-2x-y+2)tan^(- 1)((y-2)/(x-1)))` is equal to

A

`{(x-1)^(2)+(y-1)^(2)}tan^(-1)((y-2)/(x-1))-2(x-1)(y-2)=2(x-1)^(2)logc(x-1)`

B

`{(x-1)^(2)+(y-1)^(2)}-2(x-1)(y-2)tan^(-1)((y-1)/(x-1))=2(x-1)^(2)logc`

C

`{(x-1)^(2)+(y-1)^(2)tan^(-1)((y-2)/(x-1))-2(x-1)(y-2)=logC(x-1)`

D

None of these

Verified by Experts

The correct Answer is:

A

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