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Complex Numbers And Quadratic Equations
Let z, w be complex numbers such that z iw + = 0 and arg zw = π. Then arg z equals
π/4
5π/4
3π/4
π/2
C.
3π/4
Since z + iw = 0 ⇒ z = −iw
⇒ z = iw
⇒ w = iz
Also arg(zw) = π
⇒ arg (iz^{2}) = π
⇒ arg (i) + 2 arg(z) = π
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