If A and B represent the complex numbers `z_1 and z_2` such that `|z_1-z_2|=|z_1+z_2|`, then circumcentre of `/_\AOB, O` being the origin is (A) `(z_1+2z_2)/3` (B) `(z_1+z_2)/3` (C) `(z_1+z_2)/2` (D) `(z_1-z_2)/3`

If z_1 and z_2 are complex numbers such that |z_1-z_2|=|z_1+z_2| and A and B re the points representing z_1 and z_2 then the orthocentre of /_\OAB, where O is the origin is (A) (z_1+z_2)/2 (B) 0 (C) (z_1-z_2)/2 (D) none of these

If P and Q are represented by the complex numbers z_1 and z_2 such that |(1)/(z_2) + (1)/(z_1)|= |(1)/(z_2) - (1)/(z_1)| , then the circumstance of Delta OPQ (where O is the origin) is

If z_1 and z_2 are two nonzero complex numbers such that |z_1-z_2|=|z_1|-|z_2| then arg z_1 -arg z_2 is equal to

Let z_1,z_2,z_3 be three distinct non zero complex numbers which form an equilateral triangle in the Argand pland. Then the complex number associated with the circumcentre of the tirangle is (A) (z_1 z_2)/z_3 (B) (z_1z_3)/z_2 (C) (z_1+z_2)/z_3 (D) (z_1+z_2+z_3)/3

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)

If Z1 and Z2 are two complex numbers such that |z1|=|z2|. ls it necessary that z1=z2 ?

Let Z_1 and Z_2 are two non-zero complex number such that |Z_1+Z_2|=|Z_1|=|Z_2| , then Z_1/Z_2 may be :