Let the complex numbers `alpha` and `(1)/(bar(alpha))` lie on the circles `|z-z_(0)|^(2)=4` and `|z-z_(0)|^(2)=16` respectively,where, `[z_(0)=1+i` .Then,the value of `100| alpha|^(2)` is

Let the complex number alpha and 1/alpha lies abs(z-z_o)^2=4 and abs(z-z_o)^2=16 respectively, where z_0=1+i . Then, the value of 100|alpha|^2 is

Let complex numbers alpha and (1)/(alpha) lies on circle (x-x_(0))^(2)(y-y_(0))^(2)=r^(2) and (x-x_(0))^(2)+(y-y_(0))^(2)=4r^(2) respectively.If z_(0)=x_(0)+iy_(0) satisfies the equation 2|z_(0)|^(2)=r^(2)+2 then | alpha| is equal to (a) (1)/(sqrt(2))( b )(1)/(2)(c)(1)/(sqrt(7)) (d) (1)/(3)

Let complex numbers alpha " and " (1)/(bar alpha) lies on circles (x - x_(0))^(2) + (y- y_(0))^(2) = r^(2) and (x - x_(0))^(2) + (y - y_(0))^(2) = 4x^(2) , , respectively. If z_(0) = x_(0) + iy_(0) satisfies the equation 2 | z_(0) |^(2) = r^(2) + 2 , then |alpha| is equal to:

If alpha=(z)/(bar(z)), then | alpha|

If z is a complex number then radius of the circle zbar(z)-2(1+i)z-2(1-i)bar(z)-1=0 is

If z_(1)=a+ib and z_(2)=c+id are complex numbers such that Re(z_(1)bar(z)_(2))=0, then the |z_(1)|=|z_(2)|=1 and Re(z_(1)bar(z)_(2))=0, then the pair ofcomplex nunmbers omega=a+ic and omega_(2)=b+id satisfies

Let z_(1) and z_(2) be two complex numbers such that |(z_(1)-2z_(2))/(2-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1, find |z_(1)|

Let z_(1), z_(2) are complex numbers and |z_(1)|=2 and (1-i)z_(2)+(1+i) z_(2)= K sqrt(2),K>0 such that the minimum value of |z_(1)-z_(2)| equals 2 then the value of |K| equals

If (4+i)(z+bar(z))-(3+i)(z-bar(z))+26i = 0 , then the value of |z|^(2) is