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  • Question 1
    4 / -1

    Let S be a non-empty subset of R (R is the set of Real Numbers). Consider the following statement:

    P: There is a rational number x ∈ S such that x > 0

  • Question 2
    4 / -1

    The equation of the tangent to the curve y = x + 4 / x2, that is parallel to the x-axis, is

  • Question 3
    4 / -1

    Solution of the differential equation cos x dy = y (sin x−y) dx, 0 < x < π / 2 is

  • Question 4
    4 / -1

     

    The area bounded by the curves y = cos x and y=sin x  between the ordinates x = 0 and x = 3π / 2 is

  • Question 5
    4 / -1

    If two tangents drawn from a point P to the parabola  y2= 4x  are at right angles, then the locus of P is 

  • Question 6
    4 / -1

    For all x ∈ R, x2 + 2ax + 10−3a > 0, then the interval in which ‘a’ lies is

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