If `z+z^3=0` then which of the following must be true on the complex plane

If x + z > y + z , then which of the following must be true?

If z is a complex number, then which of the followinf is not true?

State which of the following statements are true (T) or false(F) The line (x+3)/(-1)=(y-2)/3=(z-1)/4 is perpendicular to the plane 3x-3y+3z-1=0

Suppose z and omega are two complex number such that Which of the following is true for z and omega ?

If P(z_(1)),Q(z_(2)),R(z_(3)) " and " S(z_(4)) are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, which one of the following is held good?

If P(z_(1)),Q(z_(2)),R(z_(3)) " and " S(z_(4)) are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, which one of the following is held good?

If P(z_(1)),Q(z_(2)),R(z_(3)) " and " S(z_(4)) are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, which one of the following is held good?

If a point P denoting the complex number z moves on the complex plane such tha "Re"(z^(2))="Re"(z+bar(z)) , then the locus of P (z) is

If a point P denoting the complex number z moves on the complex plane such that,|Re(z)|+|Im(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such that |RE(z)|+|IM(z)|=1 then locus of P is