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Question: If z = 2 + 2i, find the value of z/z*.Options: 12i2iCorrect Answer: iSolution: z/z* = (2 +..
Question: What is the conjugate of the complex number z = 5 - 6i?Options: 5 + 6i5 - 6i6 - 5i6 + 5iCo..
Question: If z = 1 + i, find z^2.Options: 2i21 + 2i0Correct Answer: 1 + 2iSolution: z^2 = (1 + i)^2 ..
Question: Find the real part of the complex number z = 2 + 3i.Options: 2351Correct Answer: 2Solution..
Question: If z = 2e^(iπ/3), find the rectangular form of z.Options: 1 + √3i2 + 2i2 + √3i√3 + 1iCorre..
Question: What is the real part of the complex number z = 5 - 6i?Options: 5-6111Correct Answer: 5Sol..
Question: Find the value of (1 + i)^4.Options: 04816Correct Answer: 8Solution: (1 + i)^4 = (√2 e^(iπ..
Question: If z1 = 1 + i and z2 = 2 - i, find z1 * z2.Options: 3 + i3 - i2 + 3i2 - 3iCorrect Answer: ..
Question: If z = 2 + 3i, find the conjugate of z.Options: 2 - 3i3 - 2i-2 + 3i-3 - 2iCorrect Answer: ..
Question: What is the real part of the complex number z = 5e^(iπ/3)?Options: 5/25/√35√3/25Correct An..
Question: If z = 1 + i, find the value of z^4.Options: -4401Correct Answer: -4Solution: z^4 = (1 + i..
Question: If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.Options: 6 + 2i6 + 4i2 + 6i8 + 2iCorrect Answe..
Question: Find the value of z^2 if z = 1 + i.Options: 2i201Correct Answer: 2Solution: z^2 = (1 + i)^..
Question: If z = 1 + i, find z^4.Options: -4401Correct Answer: -4Solution: z^4 = (1 + i)^4 = 4i...
Question: What is the modulus of the complex number z = -3 + 4i?Options: 5734Correct Answer: 5Soluti..
Question: If z = 2 + 2i, find the value of z^3.Options: -8 + 8i08 + 8i8 - 8iCorrect Answer: -8 + 8iS..
Question: If z = re^(iθ), what is the value of r if z = 1 + i?Options: √2120Correct Answer: √2Soluti..
Question: If z = 2(cos(π/4) + i sin(π/4)), find |z|.Options: 2√214Correct Answer: 2Solution: |z| = 2..
Question: What is the value of (1 + i)^2?Options: 2i201 + 2iCorrect Answer: 2iSolution: (1 + i)^2 = ..
Question: If z = 1 + i√3, find the argument of z.Options: π/32π/3π/65π/6Correct Answer: π/3Solution:..
Question: If z = re^(iθ), what is the value of |z|?Options: rθre1Correct Answer: rSolution: The modu..
Question: If z = a + bi, where a and b are real numbers, what is the conjugate of z?Options: a - bia..
Question: If z = 1 + i, find the value of z^3.Options: -2 + 2i2 + 2i01 + 3iCorrect Answer: -2 + 2iSo..
Question: If z = 2 + 2i, find the value of |z|^2.Options: 48216Correct Answer: 8Solution: |z|^2 = (2..
Question: What is the conjugate of the complex number z = 5 - 2i?Options: 5 + 2i5 - 2i2 - 5i2 + 5iCo..
Question: Find the real part of the complex number z = 2e^(iπ/3).Options: 1230Correct Answer: 2Solut..
Question: If z = re^(iθ), what is the value of r if z = 4 + 3i?Options: 5743Correct Answer: 5Solutio..
Question: If z = 1 + i√3, find |z|^2.Options: 4321Correct Answer: 4Solution: |z|^2 = (1)^2 + (√3)^2 ..
Question: What is the real part of the complex number z = 4e^(iπ/3)?Options: 242√34√3Correct Answer:..
Question: If z = 2 + 2i, find the conjugate of z.Options: 2 - 2i2 + 2i-2 + 2i-2 - 2iCorrect Answer: ..
