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 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 \(\omega\)...
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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