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The equation of the curve for which the ...

The equation of the curve for which the slope of the tangent at any point is given by `(x+y+1)((dy)/(dx))=1` is (where, c is an arbitrary constant)

A

`xy=e^(x)-c`

B

`xy =ce^(y)+2`

C

`x=ce^(y)-y-2`

D

`x=e^(y)+y-c`

Text Solution

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The correct Answer is:
C
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