If z and w are complex numbers satisfying z ¯ + i w ¯ = 0 and amp z w = π , then amp w is equal to (where, amp w ∈ - π , π )

Step-by-step solution

Given z - + i w - = 0 ⇒ z - = - i w - or z = i w or z w = i a m p z - a m p w = a m p   i = π 2 . . . . i also a m p z w = π a m p z + a m p w = π … . . i i Adding i   &   i i , we get, 2 a m p z = 3 π 2 ⇒ a m p z = 3 π 4 Also, a m p w = π 4