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  • Question 1
    1 / -0

    What is the value of \(\sin ^{-1} \frac{4}{5}+2 \tan ^{-1} \frac{1}{3} ?\)

  • Question 2
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    For function f(x) = x cos 1/x , x ≥ 1,

  • Question 3
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    Find the value of limx→0tanx-cosxx=?

     

  • Question 4
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    The locus of the orthocentre of the triangle formed by the lines (1 + p)x – py + p(1 + p) = 0, (1 + q)x – qy + q(1 + q) = 0 and y = 0, where p ≠ q, is

  • Question 5
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    Root(s) of the expression 2sin^2 θ + sin^2 2θ = 2

  • Question 6
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    Find the the statements/expressions of parabola :

  • Question 7
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    Let a1,a2,a3,...,a11 be real number satisfying a1=15,27-2a2>0 and ak=2ak-1-ak-2 for k=3,4,....11.If=a12+a22+....+a11211=90, then the value of  a1+a2+....+a1111 is equal to:

  • Question 8
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    An ellipse intersects the hyperbola 2x^2 – 2y^2 = 1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinates axes, then

  • Question 9
    1 / -0

    Let f: R →R be a continuous function

    which satisfies f(x) = ∫0xf(t) dt.Then

    the value of f(In5) is.

  • Question 10
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    The smallest value of k, for which both the roots of the equation x^2 − 8kx + 16(k^2 − k + 1 ) = 0 are real, distinct and have values at least 4, is

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