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If a point p dentes a complex number z=x...

If a point p dentes a complex number z=x+iy in the argand plane and if `(z+1)/(z+i)` is a purely real number , then the locus of p is

A

`x+y+1 =0`

B

`x^(2)+y^(2)+x+y =0`

C

`x^(2)+y^(2)+2Y+1=0,(x,y) ne (0,-1)`

D

`x+y+1=0,(x,y) ne (0,-1)`

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The correct Answer is:
D
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