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  • Question 1
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    The number of solution in [0, 2π] of the equation 

  • Question 2
    4 / -1

  • Question 3
    4 / -1

  • Question 4
    4 / -1

     (where c is a constant of integration), then values of P and Q are respectively

  • Question 5
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    The distance of the point having position vector î - 2ĵ - 6k̂, from the straight line passing through the point (2, -3, -4) and parallel to the vector 6î + 3ĵ - 4k̂ is units.

  • Question 6
    4 / -1

    A vector  is inclined to X-axis at 45°, Y-axis at 60° and at an acute angle to Z-axis if  is normal to a plane passing through the point (-√2, 1, 1), then equation of the plane is

  • Question 7
    4 / -1

    The particular solution of the differential equation (1 + y2)dx - xy dy = 0 at x = 1, y = 0, represents

  • Question 8
    4 / -1

    The coefficient of a10b7c3 in the expansion of (bc + ca + ab)10 is

  • Question 9
    4 / -1

    Let A be the set of even natural numbers that are < 8 & B be the set of prime integers that are < 7 The number of relations from A to B are

  • Question 10
    4 / -1

    If α1, α2,...., αn are in A.P. with common difference θ, then the sum of the series sec α1 sec α2 + sec α2 sec α3 + ....+ sec αn-1 sec αn = k(tan αn - tan α1) where k =

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