If `z_1`, and `z_2`, are purely real then `z_1`,`z_2`,`bar(z_1)` ,`bar(z_2)` form (A) Parallelogram (B) square (C) rhombus (D) straight line

Suppose z_1 + z_2 + z_3 + z_4=0 and |z_1| = |z_2| = |z_3| = |z_4|=1. If z_1, z_2, z_3 ,z_4 are the vertices of a quadrilateral, then the quadrilateral can be a (a) parallelogram (c) rectangle (b) rhombus (d) square

z_1 = 1+i, z_2 =2-3i, verify the following: bar (z_1+z_2) = bar (z_1) + bar (z_2)

z_1 = 1+i, z_2 =2-3i, verify the following: bar (z_1-z_2) = bar (z_1) - bar (z_2)

z_1 = 1+i, z_2 =2-3i, verify the following: bar (z_1. z_2) = bar (z_1) . bar (z_2)

z_1 = 1+i, z_2 =2-3i, verify the following: bar (z_1/ z_2) = bar (z_1) / bar (z_2)

If z_1 and z_2 are two complex numbers such that (z_1-2z_2)/(2-z_1bar(z_2)) is unimodular whereas z_1 is not unimodular then |z_1| =

Let z_1a n dz_2 be complex numbers such that z_1!=z_2 and |z_1|=|z_2|dot If z_1 has positive real part and z_2 has negative imaginary part, then (z_1+z_2)/(z_1-z_2) may be (a) zero (b) real and positive (c) real and negative (d) purely imaginary

Let z_1a n dz_2 be complex numbers such that z_1!=z_2 and |z_1|=|z_2|dot If z_1 has positive real part and z_2 has negative imaginary part, then (z_1+z_2)/(z_1-z_2) may be (a)zero (b) real and positive (c) real and negative (d) purely imaginary

If z_1 and z_2 be complex numbers such that z_1 + i(bar(z_2) ) =0 and "arg" (bar(z_1) z_2 ) = (pi)/(3) . Then "arg"(bar(z_1)) is equal to a) (pi)/(3) b) pi c) (pi)/(2) d) (5pi)/(12)