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Question: If A = {1, 2} and B = {x | x is an odd integer}, what is A × B?Options: {(1, 1), (2, 1)}{(..
Question: What is the slope of the line perpendicular to the line y = -2x + 4?Options: 0.52-0.5-2Cor..
Question: What is the equation of the line parallel to y = 4x - 5 and passing through (2, 3)?Options..
Question: What is the equation of the parabola with focus at (0, 2) and directrix y = -2?Options: x^..
Question: Find the coordinates of the focus of the parabola y^2 = -12x.Options: (-3, 0)(-2, 0)(3, 0)..
Question: Find the equation of the parabola that opens downwards with vertex at (0, 0) and passes th..
Question: What is the vertex of the parabola represented by the equation y = -2(x - 1)^2 + 4?Options..
Question: Determine the length of the latus rectum of the parabola y^2 = 16x.Options: 481632Correct ..
Question: Find the focus of the parabola defined by the equation x^2 = 12y.Options: (0, 3)(0, -3)(3,..
Question: What is the directrix of the parabola given by the equation y^2 = 8x?Options: x = -2x = 2y..
Question: Find the slopes of the lines represented by the equation 6x^2 - 5xy + y^2 = 0.Options: -1/..
Question: What is the condition for the lines represented by the equation 2x^2 + 3xy + y^2 = 0 to be..
Question: If the lines represented by the equation 5x^2 + 6xy + 5y^2 = 0 are intersecting, what is t..
Question: Determine the condition for the lines represented by ax^2 + 2hxy + by^2 = 0 to be parallel..
Question: What type of curves does the equation y = a(x - h)^2 + k represent?Options: Linear functio..
Question: Identify the family of curves represented by the equation y = e^(kx).Options: Linear funct..
Question: What is the family of curves represented by the equation y = k/x?Options: Linear functions..
Question: Which of the following represents a family of curves for the equation y = ax^2 + bx + c?Op..
Question: The area of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4) is:Options: 12..
Question: The slope of the line represented by the equation 2x - 3y + 6 = 0 is:Options: 2/3-2/33/2-3..
Question: Evaluate the integral ∫ (sec^2(x)) dx.Options: tan(x) + Csec(x) + Csin(x) + Ccos(x) + CCor..
Question: Calculate the integral ∫ (x^2 + 2x + 1) dx.Options: (1/3)x^3 + x^2 + x + C(1/3)x^3 + x^2 +..
Question: If f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1, find f\'(1).Options: 0123Correct Answer: 0Solution: ..
Question: For the function f(x) = x^3 - 3x^2 + 4, find the points where it is not differentiable.Opt..
Question: What is the derivative of f(x) = ln(x^2 + 1) at x = 1?Options: 011/21/3Correct Answer: 1So..
Question: Which of the following functions is not differentiable at x = 0? f(x) = x^2 sin(1/x) for x..
Question: If f(x) = x^2 + 2x + 3, find f\'(1).Options: 2345Correct Answer: 4Solution: f\'(x) = 2x + ..
Question: For which value of a is the function f(x) = x^2 + ax + 1 differentiable at x = -1?Options:..
Question: Find the value of k such that the function f(x) = { kx + 1, x < 1; 3, x = 1; x^2 + 1, x > ..
Question: For which value of b is the function f(x) = { x^3 - 3x + b, x < 1; 2x + 1, x >= 1 continuo..
