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  • Question 1
    4 / -1

    Let f(x) = x3/2, then f′(0) =

  • Question 2
    4 / -1

    Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y ∈R&f(x)=1+xg(x), where limx→0g(x)=1.f(x) is equal to

  • Question 3
    4 / -1

    If sin (A + B + C) = 1, tan (A - B) = 1/√3, sec(A + C) = 2,

  • Question 4
    4 / -1

    sin 30° + cos 60° + tan 45° is equal to

  • Question 5
    4 / -1

    Evaluate ∫t3−e−t−4e−tdt

  • Question 6
    4 / -1

    Let f(x + y) = f(x)f(y), for all x, y ∈ R. If f'(0) = 2 and f(4) = 4, then f'(4) is equal to

  • Question 7
    4 / -1

    α and β lie between 0 and π/4, cos(α + β) = 12/13 and sin(α - β) = 3/5.

    sin 2α =

  • Question 8
    4 / -1

    What is the area of the figure bounded by the curves y2 = 2x + 1 and x - y = 1?

  • Question 9
    4 / -1

    The area lying in the first quadrant and bounded by the circle x2 + y2 = 4, the line x =√3 y and the x-axis is

  • Question 10
    4 / -1

    If three natural numbers between 1 and 100 are selected randomly, then the probability that all are divisible by both 2 and 3 is

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