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  • Question 1
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    The value of : tan{sin–1(cos(sin–1 x))}. tan{cos-1(sin(cos–1 x))} ; x ∈ (0, 1) is equal to ;

  • Question 2
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    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 =

  • Question 3
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    The area (in sq. units) of the quadrilateral formed by the tangent at the end points of the latus rectum to the ellipse 

  • Question 4
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  • Question 5
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  • Question 6
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    If complex numbers a1, a2, a3... are in G.P. having common ratio r such that then number of possible values of r is

  • Question 7
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  • Question 8
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  • Question 9
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    Let y = f ( x ) be a thrice differentiable function in (− 4, 4). Let the tangents to the curve y = f (x) at (2, f(2)) and (3, f(3)) make angles π/6 and π/3, respectively with positive x-axis.  where α is an integers, then the value of α equals

  • Question 10
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