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 )

Question

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 ), π 4, - π 4, π 2, 3 π 4

MARKS App · Accepted Answer

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

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