If `z_1 = ai + bj` and `z_2 = ci + dj` are two vectors in `i and j` system, where `|z_1| = |z_2| = r` and `z_1.z_2 =0` then `w_1 = ai + cj` and `w_2 = bi + dj` satisfy

If z_(1)=ai+bj and z_(2)=ci+dj are two vectors in i and j system,where |z_(1)|=|z_(2)|=r and z_(1).z_(2)=0 then w_(1)=ai+cj and w_(2)=bi+dj satisfy

If z_1 = a+ib and z_2 = c+id are complex numbers such that abs(z_1) = abs(z_2) = 1 and Re(z_1barz_2) = 0 , then the pair of complex numbers w_1 = a+ic and w_2 = b+id satisfies

Let z_1=a+i b and z_2=c+i d are two complex number such that |z_1|=r and R e(z_1z_2)=0 . If w_1=a+i c and w_2=b+i d , then |w_2|=r (b) |w_2|=r R e(w_1w_2)=0 (d) I m(w_1w_2)=0

If z_1 = 2 -i and z_2= -2+i , find Re((z_1 z_2)/z_1) .

Let z_(1)=a+ib and z_(2)=c+id are two complex number such that |z_(1)|=|z_(2)|=r and Re(z_(1)z_(2))=0 .If w_(1)=a+ic and w_(2)=b+id, then (a) |w_(1)|=r( b) |w_(2)|=r (c) Re(w_(1)w_(2))=0 (d) Im(w_(1)w_(2))=0

Read the following writeup carefully: If z_1 = a+ib and z_2 =c + id be two complex numbers such that |z_1| = |z_2|=1 and "Re" (z_1 bar(z_2))=0 . Now answer the following question Let W = a+ic , then the locus of |(W+1)/(W-1)|=1 is (where W ne 1 )

If z_1, z_2 are two complex numbers satisfying the equation |(z_1 +z_2)/(z_1 -z_2)|=1 , then z_1/z_2 is a number which is :