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  • Question 1
    4 / -1

    If a1, a2, a3,....,a20 are the arithmetic means between 13 and 67, then the maximum value of the product a1⋅a2⋅a3⋅....a20 is

  • Question 2
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    The locus of the mid point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix

  • Question 3
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    The length of the diameter of the circle which touches the X-axis at the point (1, 0) and passes through the point (2, 3) is

  • Question 4
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    The vertex of a parabola is (1,2) and its axis is parallel to y-axis. If parabola passes through (0,6), then the length of its latus rectum is _____

  • Question 5
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    There is an unlimited number of identical balls of four different colours. How many arrangements of at most 88 balls in a row can be made by using them?

  • Question 6
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    The value of the determinant  is equal to

  • Question 7
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    If f(x) = a − (x − 3)8/9, then the maximum value of f(x) is

  • Question 8
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    The volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius √3 is

  • Question 9
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    If p, q ∈ {1, 2, 3, 4} the number of equations of the form px2 + qx + 1 = 0 having real roots is

  • Question 10
    4 / -1

    sin2θcos3θ − sin4θcosθ is equal to

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