Find all circles which are orthogonal to `|z|=1and|z-1|=4.`

The locus of the centre of a circle which touches the circles |z-z_(1)|=a and |z-z_(2)|=b externally is

The complex number z is such that |z|=1 , z ne -1 and w=(z-1)/(z+1) . Then real part of w is

The complex number z , which satisfies the condition |(1+z)/(1-z)|=1 lies on

Let z_1, z_2 be two complex numbers represented by points on the circle |z_1|= 1 and and |z_2|=2 are then

If z_(1),z_(2),z_(3) represent the vertices of an equilateral triangle such that |z_(1)|=|z_(2)|=|z_(3)| , then

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

All complex numers z, which satisfy the equation |(z-i)/(z+i)|=1 lie on the

Find the maximum and minimum values of |z| satisfying |z+(1)/(z)|=2

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

If x, y, z are all different and not equal to zero and |{:(1+x,,1,,1),(1,,1+y,,1),(1,,1,,1+z):}| = 0 then the value of x^(-1) + y^(-1) + z^(-1) is equal to