Mathematics

Mathematics

Problem

Column IColumn II
(A)If (3−4i)+(−3−4i)=z\sqrt{(3-4i)} + \sqrt{(-3-4i)} = z , the principal value of arg⁡(z)\arg(z) can be (where i=−1i = \sqrt{-1} )(p)0
(B)If (5+12i)+(−5+12i)=z\sqrt{(5+12i)} + \sqrt{(-5+12i)} = z , the principal value of arg⁡(z)\arg(z) can be (where i=−1i = \sqrt{-1} )(q)±π4\pm \frac{\pi}{4}
(C)If (−15+8i)+(−15−8i)=z\sqrt{(-15+8i)} + \sqrt{(-15-8i)} = z , the principal value of arg⁡(z)\arg(z) can be (where i=−1i = \sqrt{-1} )(r)±π2\pm \frac{\pi}{2}
(s)±3π4\pm \frac{3\pi}{4}

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