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  • Question 1
    4 / -1

  • Question 2
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    On the interval [0, 1], the function x25 (1 - x)75 takes its maximum value at the point

  • Question 3
    4 / -1

  • Question 4
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  • Question 5
    4 / -1

    Angle between the tangents to the curve y = x2 - 5x + 6 at the points (2, 0) and (3,0) is

  • Question 6
    4 / -1

    If the curve y = 2x3 + ax2 + bx + c passes through the origin and the tangent drawn to it at x = - 1 and x = 2 are parallel to the X - axis, then the values of a, b and c are respectively

  • Question 7
    4 / -1

    The tangent and the normal drawn to the curve y = x2 - x + 4 at P(1, 4) cut the X - axis at A and B, respectively. If the length on the subtangent drawn to the curve at P is equal to the length of the subnormal, then the area of the ∆PAB(in sq units) is

  • Question 8
    4 / -1

    If the line ax + by + c = 0 is a normal to the curve xy = 1, then

  • Question 9
    4 / -1

    The maximum value of x1/x is

  • Question 10
    4 / -1

    The set {x3 - 12x : -3 ≤ x ≤ 3} is equal to

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