locus of `z` such that `|z-a|^2+|z-b|^2=lambda`

The locus of z such that |z-1|^2+|z+1|^2=4 is a

The locus of z such that (z^(2))/(z-1) is always real is

The locus of z such that (z^(2))/(z-1) is always real is

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 The locus of point from which tangents drawn to C_1 and C_2 are perpendicular , is :

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 The locus of point from which tangents drawn to C_1 and C_2 are perpendicular , is :

Let Z_(1),Z_(2) be two complex numbers which satisfy |z-i| = 2 and |(z-lambda i)/(z+lambda i)|=1 where lambda in R, then |z_(1)-z_(2)| is

Identify the locus of z if bar z = bar a +(r^2)/(z-a).

Identify the locus of z if bar z = bar a +(r^2)/(z-a).

Identify the locus of z if bar z = bar a +(r^2)/(z-a).

If A(z_(1)) and B(z_(2)) are two fixed points in the Argand plane the locus of point P(z) satisfying |z-z_(1)|+|z-z_(2)|=|z_(1)-z_(2)| , is