show that `| |2 bar z + 5| ( sqrt 2 - 1)| = sqrt3 | 2z + 5|` , where z is a complex number.

Show that |(2z + 5)(sqrt2-i)|=sqrt(3) |2z+5| , where z is a complex number.

Show that |(2z + 5)(sqrt2-i)|=sqrt(3) |2z+5| , where z is a complex number.

show that |2bar(z)+5|(sqrt(2)-1)|=sqrt(3)|2z+5| where z is a complex number.

Solve the equation, z^(2) = bar(z) , where z is a complex number.

Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2) , where z is a complex number and a gt 0 , is

Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2) , where z is a complex number and a gt 0 , is

Let |(( bar z _1)-2( bar z _2))//(2-z_1( bar z _2))|=1 and |z_2|!=1 ,where z_1 and z_2 are complex numbers. Show that |z_1|=2.

Let |(( bar z _1)-2( bar z _2))//(2-z_1( bar z _2))|=1 and |z_2|!=1 ,where z_1 and z_2 are complex numbers. Show that |z_1|=2.

Let |(( bar z _1)-2( bar z _2))//(2-z_1( bar z _2))|=1 and |z_2|!=1 ,where z_1 and z_2 are complex numbers. Show that |z_1|=2.

Number of solutions of the equation z^(3)+(3(bar(z))^(2))/(|z|)=0 where z is a complex number is