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Complex Numbers · 2024 · 29 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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2024 · 29 Jan · Shift 2
Mathematics
Complex Numbers

Complex Numbers · 2024 · 29 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q47.Let $r$ and $θ$ respectively be the modulus and amplitude of the complex number $z = 2 - i (2 tan \frac{5 π}{8})$ , then $(r, θ)$ is equal to
Mathematics · Complex Numbers · MCQ
Q55.Let $x^{2} - 6 x + 3 = 0$ be the roots of the equation $x^{2} - 6 x + 3 = 0$ such that $Im (α) > Im (β)$ . Let $n$ be integers not divisible by 3 and $n$ be a natural number such that $\frac{α ^{99}}{β} + α^{98} = 3^{n} (a + ib), i = - 1$ …
Mathematics · Complex Numbers · Numerical