`|z-2-3i|^2+|z-4-3i|^2=lambda` represents the equation of the circle with least radius. find the value of `lambda`

If |z-2-3i|^(2) + |z- 5 - 7i|^(2)= lambda respresents the equation of circle with least radius, then find the value of lambda .

If the equation |z-z_1|^2 + |z-z_2|^2 =k , represents the equation of a circle, where z_1 = 3i, z_2 = 4+3i are the extremities of a diameter, then the value of k is

If (|2z - 3|)/(|z-i|)= k is the equation of circle with complex number 'I' lying inside the circle, find the values of K.

The radius of the circle |(z-i)/(z+i)|=3 , is

If the equation |z-z_(1)|^(2)+|z-z_(2)|^(2)=k represents the equation of a circle,where z_(1)=2+3 iota,z_(2)=4+3t are the extremities of a diameter,then the value of k is

If |(z-2)/(z-3)|=2 represents a circle, then find its radius.

If 2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0 represents a circle of meaningful radius, then the range of real values of lambda , is

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

If the lines (x-1)/(-3) =(y-2)/(2lambda) =(z-3)/(2) " and " (x-1)/(3lambda) =(y-1)/(1)=(6-z)/(5) are perpendicular to each other then find the value of lambda