`overline (((z_(1))/(z_(2))))`=
`(a)` `overline (z_(1))/overline (z_(2))`
`(b)` `(z_(1))/(z_(2))`
`(c)` `overline (z_(1))/(z_(2))`
`(d)` `(z_(1))/overline (z_(2))`

Prove that: R_(e)z=(z+overline(z))/(2),I_(m)z=(z-overline(z))/(2i)

|z_(1)|=|z_(2)| and arg((z_(1))/(z_(2)))=pi, then z_(1)+z_(2) is equal to

If z_(1)=2-i and z_(2)=-2+i , then Re((1)/(z_(1)overline(z_(2))))= . . . .

For any complex number z=x+ iy,define (z)=|x|+|y|. If z_(1) and z_(2) are any two complex numbers,then (1) (z_(1)+z_(2))lt=(z_(1))+(z_(2)) (2) (z_(1)+z_(2))=(z_(1))+(z_(2)) (3) (z_(1)+z_(2))gt=(z_(1))+(z_(2)) (4) (z_(2)-z_(1))=(z_(2))-(z_(1))

If |z_(1)| = |z_(2)| = 1, z_(1)z_(2) ne -1 and z = (z_(1) + z_(2))/(1+z_(1)z_(2)) then

If z_(1)!=z_(2)o*|z_(1)+z_(2)|=|(1)/(z_(1))+(1)/(z_(2))|, then (Z_(1),Z_(2)in C)?

If Z_(1)=1+i and Z_(2)=2+2i , then which of the following is not true. (A) |z_(1)z_(2)|=|z_(1)||z_(2)| (B) |z_(1)+z_(2)|=|z_(1)|+|z_(2)| (C) |z_(1)-z_(2)|=|z_(1)|-|z_(2)| (D) |(z_(1))/(z_(2))|=(|z_(1)|)/(|z_(2)|)

If z,z=z_(2) and |z_(1)+z_(2)|=|(1)/(z_(1))+(1)/(z_(2))| then

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find the of z_(1)z_(2).