If the equation of the perpendicular bisector of the line joining two camplex numbers `P(z_1) and Q(z_2)` are the complex plane is `overlinealphaz + alpha overlinez+r=0,` then `alpha and r` are respectively, are

Equation of perpendicular bisector of line joining z1and z2

If the perpendicular bisector of the line segment joining A(alpha , 3) and B(2,-1) has y-intercept 1, then alpha =

If the perpendicular bisector of the line segment joining A(alpha,3) and B(2,-1) has y-intercept 1 then | alpha| =

If z_1 and z_2 are two complex numbers, then the equation of the perpendicular bisector of the segment z_1 and z_2 is

If z_(1) and z_(2) are two complex numbers,then the equation of the perpendicular bisector ofthe segment joining z_(1) and z_(2) is

Prove that equation of perpendicular bisector of line segment joining complex numbers z_(1) and z_(2) is z(barz_(2) - barz_(1)) + barz (z_(2) + z_(1)) + |z_(1)|^(2) -|z_(2)|^(2) =0

Prove that equation of perpendicular bisector of line segment joining complex numbers z_(1) and z_(2) is z(barz_(2) - barz_(1)) + barz (z_(2) + z_(1)) + |z_(1)|^(2) -|z_(2)|^(2) =0

let z_1 and z_2 be roots of the equation z^2+pz+q=0 where the coefficients p and q may be complex numbers let A and B represnts z_1 and z_2 in the complex plane if angleAOB=alpha ne 0 and OA=OB where 0 is the origin prove that p^2=4qcos^2(alpha/2)

Let z_1 and z_2 be the root of the equation z^2+pz+q=0 where the coefficient p and q may be complex numbers. Let A and B represent z_1 and z_2 in the complex plane. If /_AOB=alpha!=0 and 0 and OA=OB, where O is the origin prove that p^2=4qcos^2 (alpha/2)