`Z_1 and Z_2` are two complex numbers represented by the plans A and B in the argand Plane `Z_! And Z_2` are the roots of `Z^2+pZ+q = 0`. `/_AOB = alpha` `alpha!= 0` and O is origin and OA = OB, then `p^2/q` is equal to

Z_(1) and Z_(2) are two complex numbers represented by the plans A and B in the argand Plane Z,AndZ_(2) are the roots of Z^(2)+pZ+q=0./_AOB=alpha alpha!=0 and 0 is origin and OA= OB,then (p^(2))/(q) is equal to

Let A and B represent z_(1) and z_(2) in the Argand plane and z_(1),z_(2) be the roots of the equation Z^(2)+pZ+q=0 ,where p, q are complex numbers. If O is the origin, OA=OB and /_AOB=alpha then p^(2)=

Let z_(1) and z_(2) be the roots of the equation z^(2)+pz+q=0 . Suppose z_(1) and z_(2) are represented by points A and B in the Argand plane such that angleAOB=alpha , where O is the origin. Statement-1: If OA=OB, then p^(2)=4q cos^(2)alpha/2 Statement-2: If affix of a point P in the Argand plane is z, then ze^(ia) is represented by a point Q such that anglePOQ =alpha and OP=OQ .

Let z_(1) and z_(2) be the roots of the equation z^(2)+pz+q=0 . Suppose z_(1) and z_(2) are represented by points A and B in the Argand plane such that angleAOB=alpha , where O is the origin. Statement-1: If OA=OB, then p^(2)=4q cos^(2)alpha/2 Statement-2: If affix of a point P in the Argand plane is z, then ze^(ia) is represented by a point Q such that anglePOQ =alpha and OP=OQ .

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)

If two points P and Q are represented by the complex numbers z_1 and z_2 prove that PQ = abs(z_1 - z_2)

If z is a complex number in the argand plane, then the equation |z-2|+|z+2|=8 represents

If z is a complex number in the argand plane, the equation |z-2|+|z+2|=8 represents