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Today Mock Test

on July 10, 2025

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Mathematics Quiz

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Complex Numbers Quiz -1

Comprehensive Complex Numbers Quiz Comprehensive Complex Numbers Quiz Test your understanding of Complex Numbers, including definition, algebra, modulus, amplitude, and the Argand Diagram. Check My Answers Quiz Results

Complex Numbers Mcq-02

Complex Numbers Quiz Complex Numbers Quiz 1. The value of \( \left(\frac{-1 + i\sqrt{3}}{1 - i}\right)^{30} \) is (a) \(-2^{15}\) (b) \(2^{15}i\) (c) \(-2^{15}i\) (d) \(6^5\) 2. Let \( z=\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^5+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^5 \). If \(R(z)\) and \(I(z)\) respectively denote the real and imaginary parts of \(z\), then: (a) \(R(z) > 0\) and \(I(z) > 0\) (b) \(I(z) = 0\) (c) \(R(z) 0\) (d) \(R(z) = -3\) 3. Let \(\left(-2-\frac{1}{3}i\right)^3=\frac{x+iy}{27}\), where \(x\) and \(y\) are real numbers, then \(y - x\) equals: (a) -91 (b) -85 (c) 85 (d) 91 4. The least positive integer \(n\) for which \(\left(\frac{1+i\sqrt{3}}{1-i\sqrt{3}}\right)^n = 1\), is (a) 3 (b) 5 (c) 2 (d) 6 5. Let \(\omega\)...

Complex Numbers Mcq-03

Comprehensive Quiz: Complex Numbers Complex Numbers Quiz Test your understanding of Complex Numbers, including definition, algebra, modulus, amplitude, and the Argand Diagram. Check My Answers Quiz Results

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Today Mock Test

Mathematics Quiz

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