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  • Question 1
    4 / -1

    Two tangents on a parabola are x – y = 0 and x + y = 0. If (2, 3) is focus of the parabola then the equation of tangent at vertex is

  • Question 2
    4 / -1

    If (6, 13) and (25, 8) are the foci of a hyperbola passing through the point (1, 1) then the eccentricity of the hyperbola is

  • Question 3
    4 / -1

    The number of points of non-differentiability of function f(x) = max {sgnx, 2–x, x2},

  • Question 4
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    If f is a differentiable function satisfying then the value of f(7776), is

  • Question 5
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    denotes scalar triple product) is

  • Question 6
    4 / -1

    The standard deviation of 35 numbers is 50. If each number is increased by 10, then new standard deviation will be :-

  • Question 7
    4 / -1

    The number of skew symmetric matrix with distinct elements except principal diagonal formed by the elements  taking any number of elements at a time is

  • Question 8
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  • Question 9
    4 / -1

    The number of integral values of 'b' for which origin and the point (1,1,1) lie on the opposite side of the plane 2x + a2y + abz – 1 = 0, for all a ∈ R – {0} is

  • Question 10
    4 / -1

    The  is logically equivalent to

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