यदि `(z-1)/(z+1)` पूर्णतः काल्पनिक हो तो सिद्ध करें की `|z|=1`

If x+y+z = 400 and x:y:z = 1:1:2. Then find the value of z ? यदि x+y+z = 400 तथा x:y:z = 1:1:2 है, तो z का मान ज्ञात करें ।

z_1a n dz_2 are two complex numbers satisfying i|z_1|^2z_2-|z_2|^2z_1=z_1-i z_2dot Then which of the following is/are correct? R e((z_1)/(z_2))=0 (b) I m((z_1)/(z_2))=0 z_1( z )_2+( z )_1z_2=0 (d) |z_1||z_2|=1or|z_1|=|z_2|

Let z_(1) and z_(2) be two given complex numbers such that z_(1)/z_(2) + z_(2)/z_(1)=1 and |z_(1)| =3 , " then " |z_(1)-z_(2)|^(2) is equal to

Let z_(1) and z_(2) be two given complex numbers such that z_(1)/z_(2) + z_(2)/z_(1)=1 and |z_(1)| =3 , " then " |z_(1)-z_(2)|^(2) is equal to

Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

(Z_ (1) -1) / (Z_ (1) -4) | = 2 & | (Z_ (2) -4) / (Z_ (2) -1) | = 2 the Z_ (1) -Z_ (2 ) | _ (max) - | Z_ (1) + Z_ (1) | _ (min) =?

(Z_ (1) -1) / (Z_ (1) -4) | = 2 & | (Z_ (2) -4) / (Z_ (2) -1) | = 2 the Z_ (1) -Z_ (2 ) | _ (max) - | Z_ (1) + Z_ (1) | _ (min) =?

If |z_(1) | = |z_(2)| = 1 , then |z_(1) + z_(2)| =