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Complex Numbers · 2021 · 27 Jul · Shift 2

2 Mathematics questions from this JEE Main paper

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2021 · 27 Jul · Shift 2
Mathematics
Complex Numbers

Complex Numbers · 2021 · 27 Jul · Shift 2

2 Mathematics questions from this JEE Main paper

Q26.Let C be the set of all complex numbers. Let S1 = {z $\in$ C : |z $-$ 2| $\leq$ 1} and S2 = {z $\in$ C : z(1 + i) + $\overline{z}$ (1 $-$ i) $\geq$ 4}. Then, the maximum value of $z - \frac{5}{2}^{2}$ for z $\in$ S1 $\cap$ S2…
Mathematics · Complex Numbers · MCQ
Q38.If the real part of the complex number $z = \frac{3 + 2 i c o s θ}{1 - 3 i c o s θ}, θ \in (0, \frac{π}{2})$ is zero, then the value of sin23 $θ$ + cos2 $θ$ is equal to .
Mathematics · Complex Numbers · Numerical