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  • Question 1
    4 / -1

    If z is a complex number such that |z| ≥ 2, then the minimum value of 

  • Question 2
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    If g is the inverse of a function f and  then g′(x) is equal to

  • Question 3
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  • Question 4
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    Let a complex number be Let another complex number z be such that |zw| = 1 and arg(z) − arg(w) = π/2. Then the area of the triangle with vertices origin, z and w is equal to :

  • Question 5
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  • Question 6
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    The equation 3sin2x + 10 cos x – 6 = 0 is satisfied if (n ∈ I)

  • Question 7
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    Let the population of rabbits surviving at a time t be governed by the differential equation  then p(t) equals:

  • Question 8
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     If f(x) is continuous and differentiable everywhere, then

  • Question 9
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    Which of the following is logically equivalent to ~ (p ⇔ q)

  • Question 10
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    Consider a hyperbola H ∶ x2 − 2y2 = 4. Let the tangent at a point  meet the x-axis at Q and latus rectum at R(x1, y1), x1 > 0. If F is a focus of H which is nearer to the point P, then the area of ΔQFR is equal to.

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