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  • Question 1
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  • Question 2
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    Number of integral solutions of the equation

    [Note : where [x] denotes the greatest integer less than or equal to x and sgn x denotes signum function of x.]

  • Question 3
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    The area bounded by the curve y = x2 + 4x + 5 , the axes of co-ordinates & the minimum ordinate is

  • Question 4
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    The differential equation of all parabolas having their axis of symmetry coinciding with the axis of x has its order and degree respectively

  • Question 5
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    Number of roots of the equation x2 –2x–log2 |1 – x | = 3 is

  • Question 6
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    Let F(x) be the primitive of  w.r.t. x. If F(10) = 60 then the value of F(13), is

  • Question 7
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    is continuous at x = 0, then

    [Note : {x} denotes fractional part of x.]

  • Question 8
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  • Question 9
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    Point 'A' lies on the curve  and has the coordinate  where x > 0. Point B has the coordinates (x, 0). If 'O' is the origin then the maximum area of the triangle AOB is

  • Question 10
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