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Complex Numbers · 2003 · Shift 0

3 Mathematics questions from this JEE Main paper

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JEE Main
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2003 · Shift 0
Mathematics
Complex Numbers

Complex Numbers · 2003 · Shift 0

3 Mathematics questions from this JEE Main paper

Q98.Let $Z_{1}$ and $Z_{2}$ be two roots of the equation $Z^{2} + a Z + b = 0$ , Z being complex. Further , assume that the origin, $Z_{1}$ and $Z_{2}$ form an equilateral triangle. Then :
Mathematics · Complex Numbers · MCQ
Q99.If $(\frac{1 + i}{1 - i})^{x} = 1$ then :
Mathematics · Complex Numbers · MCQ
Q118.If $z$ and $ω$ are two non-zero complex numbers such that $∣ z ω ∣ = 1$ and $A r g (z) - A r g (ω) = \frac{π}{2},$ then $\overline{z} ω$ is equal to
Mathematics · Complex Numbers · MCQ