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  • Question 1
    3 / -1

    The minimum value of 16 cot x+9 tan x in (0,π/2) is

  • Question 2
    3 / -1

    If the determinant of a matrix of order 3×3 is formed by using the numbers 1 or -1 and minimum value of the determinant is −λ, then the value of λ is ___ .

  • Question 3
    3 / -1

    The rate of change of surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to

  • Question 4
    3 / -1

    Let I be an open interval contained in the domain of a real function f′, then f(x) is called strictly decreasing function in I if-

  • Question 5
    3 / -1

    If A is a square matrix of order 3 such that |A|=2 then the value of |(adjA−1)−1| is ___ .

  • Question 6
    3 / -1

    Find the equation of a line passing through (−2,3) and parallel to tangent at origin for the circle x2+y2+x−y=0

  • Question 7
    3 / -1

    Which of the following curves cuts the parabola y2=4ax at right angle

  • Question 8
    3 / -1

    N = 144255 + 192255 then N is divisible by

  • Question 9
    3 / -1

  • Question 10
    3 / -1

    If A and B are two invertible matrices of the same order, then adj (AB) is equal to

  • Question 11
    3 / -1

    If the equation sin-1x2+x+1+cos-1(ax+1)=π2 has exactly two solutions, then a cannot have the integral value/s

  • Question 12
    3 / -1

    If x+y=12, then minimum value of x2+y2

  • Question 13
    3 / -1

    A particle moves along a curve so that its coordinates at time t are  acceleration at t = 1 is-

  • Question 14
    3 / -1

  • Question 15
    3 / -1

    Which of the following function is increasing in (0,π/2)

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