The complex number which satisfies the condition `|(i+z)/(i-z)|=1\ ` lies on a. circle `\x^2+y^2=1` b. the x-axis c. the y-axis d. the line `x+y=1`

The complex number which satisfies the condition |(i+z)/(i-z)|=1\ lies on a. c i r c l e\ x^2+y^2=1 b. t h e\ x-a xi s c. t h e\ y-a xi s d. t h e\ l in e\ x+y=1

The complex number z which satisfies the condition |(i+z)/(i-z)|=1 lies on the (i) y -axis (ii) x-axis (iii) line x+y=1 (iv) circle x^(2)+y^(2)=1

If the complex number z=x+i y satisfies the condition |z+1|=1, then z lies on (a)x axis (b) circle with centre (-1,0) and radius 1 (c)y-axis (d) none of these

The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on (a) The x-axis (b) The straight line y=5 (c) A circle passing through the origin (d) Non of these

If complex number z=x +iy satisfies the equation Re (z+1) = |z-1| , then prove that z lies on y^(2) = 4x .

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

If z is a complex number different form i/3 then locus of z if |(3z)/(3z-i)|=1 is (A) a straightline paralel to x axis (B) a straight line having slope undefined (C) as straight line having slope 0 (D) a straight line passing through the point (2,1/6)

The complex number z satisfying |z+bar z|+|z-bar z|=2 and |iz-1|+|z-i|= 2 is/are A) i B) -i C) 1/i D) 1/(i^3)

If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a circle, when m is (a) 1/2 (b). 1 (c). 2 (d). 3

Statement-1 : The locus of complex number z, satisfying (z-2)^(n) =z^(n) is a straight line . and Statement -2 : The equation of the form ax + by+c =0 in x -y plane is the general equation of striaght line.