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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: ..
Question: If z = re^(iθ), what is the value of z^3?Options: r^3 e^(i3θ)r^3 e^(iθ)3re^(iθ)r^3 e^(iθ^3..
Question: If z = 1 + i√3, find the value of |z|^2.Options: 4321Correct Answer: 4Solution: |z|^2 = (1..
Question: Find the real part of the complex number z = 4 + 3i.Options: 4370Correct Answer: 4Solution..
Question: If z = 2(cos(θ) + i sin(θ)), what is the value of |z|?Options: 2410Correct Answer: 2Soluti..
Question: If z1 = 1 + i and z2 = 2 - 3i, find z1 * z2.Options: 7 - i7 + i5 - i5 + iCorrect Answer: 7..
Question: What is the argument of the complex number z = -1 - i?Options: -3π/43π/4-π/4π/4Correct Ans..
Question: If z = e^(iπ/4), find the value of z^8.Options: 10-1iCorrect Answer: 1Solution: z^8 = (e^(..
Question: Find the value of z if z^2 + 4z + 8 = 0.Options: -2 + 2i-2 - 2i-4 + 0i-4 - 0iCorrect Answe..
Question: If z = x + yi is a complex number such that |z| = 10, what is the equation of the circle i..
Question: If z = 3 + 4i, find |z|.Options: 5743Correct Answer: 5Solution: The modulus |z| = √(3^2 + ..
Question: In the expansion of (2x - 3)^5, what is the coefficient of x^2?Options: -90-120-150-180Cor..
Question: Find the coefficient of x^3 in the expansion of (x + 1/2)^6.Options: 2015105Correct Answer..
Question: Find the coefficient of x^3 in the expansion of (x - 1)^5.Options: -10-5510Correct Answer:..
Question: In the expansion of (2x + 3)^4, what is the coefficient of x^1?Options: 72483624Correct An..
Question: Find the coefficient of x^3 in the expansion of (x - 3)^5.Options: -135-90-60-45Correct An..
Question: What is the coefficient of x^5 in the expansion of (x + 1/2)^10?Options: 252210120300Corre..
Question: Determine the coefficient of x^2 in the expansion of (3x - 4)^6.Options: 540720480360Corre..
Question: If x + 2y = 10 and 2x - y = 3, what is the value of x?Options: 1234Correct Answer: 3Soluti..
Question: If the equation 2x^2 + 3x + k = 0 has one root equal to 1, what is the value of k?Options:..
Question: What is the value of k if the equation x^2 + kx + 16 = 0 has no real roots?Options: -8-448..
Question: If x^2 - 6x + 9 = 0, what is the value of x?Options: 3690Correct Answer: 3Solution: This i..
Question: What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?Options: 1234Corre..
Question: Solve for x: 3(x - 2) = 2(x + 1).Options: -1012Correct Answer: 0Solution: Expanding both s..