If `Arg((z-1)/(z+1))= pi/2` then the locus of z is `) circle with radius 2 2) circle with radius 1 3) straight line 4) pair of lines

If arg((z-2)/(z+2))=(pi)/(4) then the locus of z is

Let Arg((z+1)/(z-1))=pi/4 then locus of z be a circle whose radius and centre respectively are ?

If arg((z-1)/(z+1))=(pi)/(4) show that the locus of z in the complex plane is a circle.

If arg""(z-1)/(z+1)=(pi)/(4), show that the locus of z in the complex plane is a circle.

If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight line c. a pair of straight line d. none of these

If z^(2)+z|z|+|z^(2)|=0, then the locus z is a.a a circle b.a straight line c.a pair of straight line d.none of these

If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight line c. a pair of straight line d. none of these

If z=lambda+3+iota sqrt(5-) lamda ^(^^)2)^(@), then the locus of z is a (1) Circle (3) Parabola 85. (2) Straight line (4) None of these

Statement-1: If z_(1),z_(2) are affixes of two fixed points A and B in the Argand plane and P(z) is a variable point such that "arg" (z-z_(1))/(z-z_(2))=pi/2 , then the locus of z is a circle having z_(1) and z_(2) as the end-points of a diameter. Statement-2 : arg (z_(2)-z_(1))/(z_(1)-z) = angleAPB