If `z_(1)=9y^(2)-4-10ix, z_(2)=8y^(2)-20i`, where `z_(1)=bar(z)_(2)`, then find `z=x+iy`

If z_(1)=2+3i and z_(2)=3+2i , then |z_(1)+z_(2)| is equal to

If |sqrt2z- 3+2i|= |z| |sin ((pi)/(4) + arg z_(1)) + i cos((3pi)/(4) - arg z_(1))| , where z_(1)=1+ (1)/(sqrt3)i , then locus of z is

If |z_(1)|= 2, |z_(2)|= 3 , then |z_(1) + z_(2) +5+12i| is less than or equal to

If (z)_(1)=2-i , (z)_(2)=1+i , find |((z)_(1)+(z)_(2)+1)/((z)_(1)-(z)_(2)+1)|

If (pi)/(3) and (pi)/(4) are argument of z_(1) and bar(z)_(2) then the value of arg (z_(1)z_(2)) is

If arg (bar(z)_(1))= "arg" (z_(2)), (z ne 0) then

Let z _(1) = 1 + i sqrt3 and z _(2) = 1 + i, then arg ((z _(1))/( z _(2))) is

Let z_1=2-i, z_2=-2+i . Find Re ((z_1z_2)/overlinez_1)

If |z+ bar(z)|+ |z-bar(z)| =2 , then z lies on