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Question: The family of curves defined by the equation y = k/x represents which type of function?Opt..
Question: The family of curves represented by the equation x^2 + y^2 = r^2 describes which geometric..
Question: The general form of the family of exponential curves is given by:Options: y = a^xy = ax^2 ..
Question: The family of curves defined by the equation y = ax^2 + bx + c is known as:Options: Linear..
Question: Which of the following represents a family of circles with varying radii?Options: (x - h)^..
Question: The family of curves given by y^2 = 4ax represents which type of conic section?Options: Ci..
Question: The family of curves represented by the equation y = mx + c, where m and c are constants, ..
Question: The distance from the point (1, 2) to the line 2x + 3y - 6 = 0 is:Options: 1234Correct Ans..
Question: What is the equation of the circle with center (3, -2) and radius 5?Options: (x-3)² + (y+2..
Question: The coordinates of the centroid of a triangle with vertices at (2, 3), (4, 5), and (6, 1) ..
Question: If the coordinates of the vertices of a triangle are A(1, 1), B(4, 5), and C(7, 2), what i..
Question: The equation of a line passing through the points (1, 2) and (3, 6) is:Options: y = 2xy = ..
Question: What is the equation of the ellipse with center at the origin, semi-major axis 5, and semi..
Question: If the equation of a parabola is given by y^2 = 12x, what is the value of \'p\'?Options: 3..
Question: What is the distance between the foci of the ellipse given by the equation 4x^2 + 9y^2 = 3..
Question: What is the length of the latus rectum of the parabola y^2 = 8x?Options: 48216Correct Answ..
Question: What is the equation of the line parallel to y = 2x + 1 that passes through the point (3, ..
Question: Find the length of the line segment joining the points (1, 2) and (1, 5).Options: 3425Corr..
Question: Determine the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0),..
Question: What is the equation of the line with slope 3 passing through the point (1, 2)?Options: y ..
Question: If f(x) = x^3 - 3x + 2, find the critical points where f\'(x) = 0.Options: -1012Correct An..
Question: Evaluate the derivative of f(x) = e^x + ln(x) at x = 1.Options: 12e0Correct Answer: 1Solut..
Question: Find the value of a for which the function f(x) = { ax + 1, x < 2; x^2 - 4, x >= 2 } is di..
Question: Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, ..
Question: Determine the derivative of f(x) = x^2 * e^x.Options: e^x * (x^2 + 2x)e^x * (2x + 1)2x * e..
Question: The function f(x) = x^2 - 2x + 1 is differentiable at x = 2?Options: YesNoOnly leftOnly ri..
Question: If f(x) = ln(x) for x > 0, is f differentiable at x = 1?Options: YesNoOnly continuousOnly ..
Question: The function f(x) = e^x is differentiable at all points?Options: TrueFalseOnly at x = 0Onl..
Question: If f(x) = x^2 for x < 1 and f(x) = 2x - 1 for x ≥ 1, is f differentiable at x = 1?Options:..
Question: The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?Options: YesNoOnly leftOnly ri..
