4sqrt(4)(4z_(1))/(9z_(2))+(4bar(z)_(1))/(9bar(z)_(2))=0vec z,vec pi|(z_(1)-z_(2))/(z_(1)+z_(2))|bar(oo)|4|negvec e| pi

If (4z_(1))/(9z_(2))+(4bar(z_(1)))/(9bar(z_(2)))=0, then the value of |(z_(1)-z_(2))/(z_(1)+z_(2))| is

If |z_(1)|!=1,|(z_(1)-z_(2))/(1-bar(z)_(1)z_(2))|=1, then

If z_(1)=3-4i , z_(2)=2+i find bar(z_(1)z_(2))

If z_(1)=3-4i , z_(2)=2+i find bar(((z_(1))/(z_(2)))

z_(1)bar(z)_(2)+bar(z)_(1)z_(2)=2|z_(1)||z_(2)|cos(theta_(1)-theta_(2))

Properties of a complex no.If z;z_(1);z_(2) are complex no.; then (vii) z_(1)+z_(2)=bar(z)_(2)+bar(z)_(1) (viii) (z_(1)-z_(1))/(bar(z)_(1))=(bar(z)_(1))/(bar(z)_(1)) where z_(2)!=0bar(z)_(2)

If z_(1) and z_(2) are two complex numbers,then (A) 2(|z|^(2)+|z_(2)|^(2)) = |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) (B) |z_(1)+sqrt(z_(1)^(2)-z_(2)^(2))|+|z_(1)-sqrt(z_(1)^(2)-z_(2)^(2))| = |z_(1)+z_(2)|+|z_(1)-z_(2)| (C) |(z_(1)+z_(2))/(2)+sqrt(z_(1)z_(2))|+|(z_(1)+z_(2))/(2)-sqrt(z_(1)z_(2))|=|z_(1)|+|z_(2)| (D) |z_(1)+z_(2)|^(2)-|z_(1)-z_(2)|^(2) = 2(z_(1)bar(z)_(2)+bar(z)_(1)z_(2))

For two unimodular complex numbers Z_(1) and Z_(2), [(bar(z_(1)),-z_(2)),(bar(z_(2)),z_(1))]^(-1)[(z_(1),z_(2)),(-bar(z_(2)),bar(z_(1)))]^(-1) is equal to a) [(z_(1),z_(2)),(bar(z)_(1),bar(z)_(2))] b) [(1,0),(0,1)] c) [(1//2,0),(0,1//2)] d)None of these

Let z_(1)=2 -I, z_(2)= -2 +i , find (i) Re ((z_(1)z_(2))/(bar(z)_(1))) , (ii) Im ((1)/(z_(1)bar(z)_(2)))

If z_(1)=3-4i , z_(2)=2+i find bar(((z_(2))/(z_(1)))