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Complex Numbers · 2021 · 16 Mar · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 16 Mar · Shift 1
Mathematics
Complex Numbers

Complex Numbers · 2021 · 16 Mar · Shift 1

2 Mathematics questions from this JEE Main paper

Q27.Let a complex number z, |z| $e$ 1, satisfy $lo g_{\frac{1}{2}} (\frac{∣ z ∣ + 11}{( ∣ z ∣ - 1 ) ^{2}}) \leq 2$ . Then, the largest value of |z| is equal to .
Mathematics · Complex Numbers · MCQ
Q42.Let z and $ω$ be two complex numbers such that $ω = z \overline{z} - 2 z + 2, \frac{z + i}{z - 3 i} = 1$ and Re( $ω$ ) has minimum value. Then, the minimum value of n $\in$ N for which $ω$ n is real, is…
Mathematics · Complex Numbers · Numerical