Let `2|z_1 |=3|z_2|` and `2/3 z_1 /z_2 +3/2 z_2/z_1 =z` then (a) real part of z is 0 (b) imaginary part at z is 0 (c) `|z|=sqrt5/2` (d) `|z|=sqrt17/(2sqrt2)`

Let 2|z_(1)|=3|z_(2)| and (2)/(3)(z_(1))/(z_(2))+(3)/(2)(z_(2))/(z_(1))=z then (a) real part of z is 0(b) imaginary part at z is 0( c |z|=(sqrt(5))/(2)(d)|z|=(sqrt(17))/(2sqrt(2))

If |z_1 |=|z_2|=|z_3| = 1 and z_1 +z_2+z_3 =0 then the area of the triangle whose vertices are z_1 ,z_2 ,z_3 is

If |z_(1)|=|z_(2)|=|z_(3)| and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of

If arg(z_1-z_2)=pi/4 , z_1 and z_2 satisfy abs(z-3)=Re(z) Then sum of imaginary part of z_1+z_2 is

Let z_1 and z_2 be complex numbers of such that z_1!=z_2 and |z_1|=|z_2|. If z_1 has positive real part and z_2 has negative imginary part, then which of the following statemernts are correct for te vaue of (z_1+z_2)/(z_1-z_2) (A) 0 (B) real and positive (C) real and negative (D) purely imaginary

Let z_(1) and z_(2) be complex numbers such that z_(1)!=z_(2) and |z_(1)|=|z_(2)| 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) | = | z_ (2) | = | z_ (3) | = 1 & z_ (1) + z_ (2) + z_ (3) = sqrt (2) + i then ((z_ (1) ) / (z_ (2)) + (z_ (2)) / (z_ (3)) + (z_ (3)) / (z_ (4))) =

If | z_ (1) | = | z_ (2) | = | z_ (3) | = 1 & z_ (1) + z_ (2) + z_ (3) = sqrt (2) + i then ((z_ (1) ) / (z_ (2)) + (z_ (2)) / (z_ (3)) + (z_ (3)) / (z_ (4))) =