If `z_1, z_2, z_3, z_4` are the affixes of four point in the Argand plane, `z` is the affix of a point such that `|z-z_1|=|z-z_2|=|z-z_3|=|z-z_4|` , then `z_1, z_2, z_3, z_4` are

If A(z_(1)) and B(z_(2)) are two fixed points in the Argand plane the locus of point P(z) satisfying |z-z_(1)|+|z-z_(2)|=|z_(1)-z_(2)| , is

If in the Argand plane z_1,z_2,z_3 and z_4 are four points such that |z_1|=|z_2|=|z_3|=|z_4| then the four points are vertices of a square. True or False.

Statement-1: If z_(1),z_(2) are affixes of two fixed points A and B in the Argand plane and P(z) is a variable point such that "arg" (z-z_(1))/(z-z_(2))=pi/2 , then the locus of z is a circle having z_(1) and z_(2) as the end-points of a diameter. Statement-2 : arg (z_(2)-z_(1))/(z_(1)-z) = angleAPB

If z_(1), z_(2) and z_(3) are the vertices of a triangle in the argand plane such that |z_(1)-z_(2)|=|z_(1)-z_(3)| , then |arg((2z_(1)-z_(2)-z_(3))/(z_(3)-z_(2)))| is

If A(z_(1)) and A(z_(2)) are two fixed points in the Argand plane and a point P(z) moves in the Argand plane in such a way that |z-z_(1)|=|z-z_(2)| , then the locus of P, is

If z_1,z_2,z_3 are vertices of a triangle such that |z_1-z_2|=|z_1-z_3| then arg ((2z_1-z_2-z_3)/(z_3-z_2)) is :