If `a, b in C and z` is a non zero complex number then the root of the equation `az^3 + bz^2 + bar(b) z + bar(a)=0` lie on

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unimodular, then

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unit modulus, then

If z is non zero complex number, such that 2i z^(2) = bar(z), then |z| is

If z be a non-zero complex number, show that (bar(z^(-1)))= (bar(z))^(-1)

Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' satisfies the equation a z^2+b z+c=0, prove that a .bar a = c .bar c and |a||b|= sqrt(a c( bar b )^2)

Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' satisfies the equation a z^2+b z+c=0, prove that a .bar a = c .bar c and |a||b|= sqrt(a c( bar b )^2)

Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' satisfies the equation a z^2+b z+c=0, prove that a .bar a = c .bar c and |a||b|= sqrt(a c( bar b )^2)

Solve the equation, z^(2) = bar(z) , where z is a complex number.