P is a point denoting z in the Argand diagram and if \frac{z- i}{z+1} is always purely imaginary then the locus of P is

Correct Answer is : The point on the circle with centre (12,12) and radius 1√2 , excluding the point (1, 0) and (0,1)

The circle with centre (1/2, 1/2) and radius 1/\sqrt2

The circle with centre (-1/2, -1/2) and radius 1/\sqrt2

The point on the circle with centre (1/2, 1/2) and radius 1/\sqrt 2 , excluding the point (1, 0) and (0,1)

The point on the circle with centre (-1/2, -1/2) and radius 1/\sqrt 2, excluding the origin

AP EAMCET Engineering 2018 Apr 23 Shift 2 Paper

Section: Mathematics

Question : 8 of 160

Marks: +1, -0

P is a point denoting z in the Argand diagram and if

z−i

z+1

is always purely imaginary then the locus of P is

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