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  • Question 1
    4 / -1

    If λ is a root of the equation x2 + 3x + 1 = 0, then tan–1λ + tan–1(1/λ) is

  • Question 2
    4 / -1

    Number of integral values of ‘b’ for which the origin and the point (1, 1) lies on the same side of the straight line a2x + aby + 1 = 0, for all a ϵ R – {0} is

  • Question 3
    4 / -1

  • Question 4
    4 / -1

    The maximum value of f(x) = |x ln x| in x ∈ (0, 1) is 

  • Question 5
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    The slope of the line touching both the parabolas y2 = 4x and x2 = –32y is

  • Question 6
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  • Question 7
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    If (R̅ - S̅).t̂ = 0, (R̅ - S̅).n̂ = 0 (R̅ - S̅).b̂ =0 and  where t̂, n̂, b̂ form a right handed triad of orthogonal vectors, then –

  • Question 8
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    If the four letter words (need not to meaningful) are to be formed using the letter from the word "MEDITERRANEAN" such that the first letter is R and the fourth letter is E, then the total number of all such words is:

  • Question 9
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  • Question 10
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