If a point P denotes a complex number z =x+ iy in the Argand plane and if \frac{z+1}{z+i} is a purely real number, then the locus of P is

Correct Answer is : x+y+1=0, (x,y)≠(0,−1)

x^2+y^2+2y+1=0, (x,y)\neq(0,-1)

AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

Section: Mathematics

Question : 8 of 160

Marks: +1, -0

If a point P denotes 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

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