If `z=(lambda+3)+isqrt(5-lambda^2)` then the locus of Z is

If |z-1|=2 then the locus of z is

If |z+3|^(2)-|z-3|^(2)=8 then the locus of z is

If |z-1|=|z-3| then the locus of z is

If |z-3+i|=4 , then the locus of z is

If |(z-i)/(z+i)|=1 , then the locus of z is

If A = [(lambda,1),(-1,-lambda)] , then for what value of lambda,A^(2)=0 ?

If |z-z_(1)|=|z-z_(2)| then the locus of z is :

If lambda_(1) and lambda_(2) be two values of lambda for which the expression x^(2)+(2-lambda) x+lambda-(3)/(4) becomes a perfect square, then calculate the value of (lambda_(1)^(2)+lambda_(2)^(2)) .

If |z-2-i|=|z|sin(pi/4-a r g z)| , where i=sqrt(-1) ,then locus of z, is

If w=z/[z-(1/3)i] and |w|=1, then find the locus of z