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Question: If z = 1 + i√3, then the argument of z is?Options: π/3π/62π/35π/6Correct Answer: π/3Soluti..
Question: The value of (1 + i)^2 is?Options: 2i201 + 2iCorrect Answer: 2Solution: (1 + i)^2 = 1^2 + ..
Question: If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?Options: 6 - 2i6 + 2i2 - 2i2 + 2iCorrect A..
Question: The argument of the complex number z = -1 - i is?Options: -3π/43π/4π/4-π/4Correct Answer: ..
Question: If z = re^(iθ), then the value of |z| is?Options: rθre1Correct Answer: rSolution: The modu..
Question: The product of two complex numbers z1 = 1 + i and z2 = 2 - i is?Options: 3 + i3 - i2 + 3i2..
Question: If z = a + bi, where a and b are real numbers, then the conjugate of z is?Options: a + bia..
Question: If z = 3 + 4i, then |z| is equal to?Options: 572512Correct Answer: 5Solution: The modulus ..
Question: What is the value of the coefficient of x^5 in the expansion of (x + 3)^7?Options: 2163126..
Question: In the expansion of (2x + 3)^4, what is the coefficient of x^2?Options: 1087236144Correct ..
Question: What is the middle term in the expansion of (x + 2)^8?Options: 12811225664Correct Answer: ..
Question: In the expansion of (2x - 3)^5, what is the coefficient of x^1?Options: -15-303015Correct ..
Question: Find the value of the coefficient of x^2 in the expansion of (3x - 4)^4.Options: -144-2162..
Question: In the expansion of (x + 2)^6, what is the term containing x^4?Options: 240360720480Correc..
Question: What is the value of k if the quadratic equation x^2 + kx + 9 = 0 has one real root?Option..
Question: If x^2 + 2x + 1 = 0, what is the value of x?Options: -1012Correct Answer: -1Solution: This..
Question: What is the product of the roots of the equation x^2 - 6x + 8 = 0?Options: 681012Correct A..
Question: The sum of the roots of the equation x^2 - 7x + 10 = 0 is?Options: 5678Correct Answer: 7So..
Question: What is the solution to the equation 2^x = 16?Options: 2345Correct Answer: 3Solution: 2^x ..
Question: If the area of a triangle is 30 square units and the base is 10 units, what is the height?..
Question: What is the derivative of f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1?Options: 4x^3 - 12x^2 + 12x - ..
Question: If sin(x) = 1/2, what is the value of x in the range [0, 2π]?Options: π/6π/35π/67π/6Correc..
Question: If the roots of the equation x^2 - 5x + k = 0 are real and equal, what is the minimum valu..
Question: What is the value of the integral ∫(2x^3 - 3x^2 + 4)dx from 1 to 3?Options: 10203040Correc..
Question: If the entropy of a system increases, what is the effect on Gibbs Free Energy at constant ..
Question: For a reaction at standard conditions, if ΔG° is negative, what can be said about the equi..
Question: What does a positive ΔG indicate about a reaction?Options: The reaction is spontaneous.The..
Question: At constant temperature and pressure, if ΔH is positive and ΔS is negative, what is the si..
Question: Which of the following expressions correctly relates ΔG, ΔH, and ΔS?Options: ΔG = ΔH + TΔS..
Question: If ΔG is negative for a reaction, what can be inferred about the reaction?Options: The rea..
