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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
Let z\mathrm{z} and w\mathrm{w} be non-zero complex numbers such that ∣z∣=∣w∣|\mathrm{z}|=|\mathrm{w}| and arg⁡(z)+arg⁡(w)=π\arg (\mathrm{z})+\arg (\mathrm{w})=\pi. Then z=\mathrm{z}=
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Correct option: D
−w‾-\overline{\mathrm{w}}
Option D (−w‾-\overline{\mathrm{w}}) is correct because given the conditions, z is the negative of the conjugate of w.

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