Let `p` and `q` are complex numbers such that `|p|+|q| lt 1`. If `z_(1)` and `z_(2)` are the roots of the `z^(2)+pz+q=0`, then which one of the following is correct ?

If Z_(1)" and "Z_(2) are any two complex numbers, then which one of the followoing is true?

If |z_(1)| = |z_(2)| and arg z_(1) + "arg" z_(2) = 0, then which of the following not true.

Let z_(1)" and "z_(2) be two complex numbers such that z_(1)z_(2)" and "z_(1)+z_(2) are real then

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?

If z_(1)" and "z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0, Im(z_(1)z_(2))=0 then

If z_(1)" and "z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 then

Let z be a complex number satisfying |z+16|=4|z+1| . Then

Let a , b , c be distinct complex numbers with |a|=|b|=|c|=1 and z_(1) , z_(2) be the roots of the equation az^(2)+bz+c=0 with |z_(1)|=1 . Let P and Q represent the complex numbers z_(1) and z_(2) in the Argand plane with /_POQ=theta , o^(@) lt 180^(@) (where O being the origin).Then

A point P which represents a complex number Z moves such that |Z-Z_(1)|=|Z-Z_(2)| , then its locus is

Let z_(1) and z_(2) be any two non-zero complex numbers such that 3|z_(1)|=2|z_(2)|. "If "z=(3z_(1))/(2z_(2)) + (2z_(2))/(3z_(1)) , then