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  • Question 1
    4 / -1

    The slope of the tangent of the curve x=t2+3t-8, y=2t2-2t-5 at the point (2,-1) is

  • Question 2
    4 / -1

    The equation of the sphere with centre (3, 6, -4) and touching the plane 2x - 2y - z - 10 = 0 is

  • Question 3
    4 / -1

    If for real values of x, cos θ = x+1/x, then

  • Question 4
    4 / -1

    A force F → = 2 î + ĵ − k̂ acts at a point A whose position vector is 2 î − ĵ. If point of application of F → moves from A to the point B with position vector 2 î + ĵ , then work done by F → is

  • Question 5
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  • Question 6
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    Limx→-1 [1 + x + x² + ……….+ x10] is

  • Question 7
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    A square tank of capacity 250 cubic m has to be dug out. The cost of land is Rs 50 per sq.m. The cost of digging increases with the depth and for the whole tank is 400 (depth)2 rupees. The dimensions of the tank for the least total cost are

  • Question 8
    4 / -1

    The g-1({0}) for the function g(x)= ⌊x⌋ is ___________

  • Question 9
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  • Question 10
    4 / -1

    Let f(x) = ax2+bx+c,a ≠ 0 and triangle = b2-4ac.If α+β, α2+β2 and α3+β3 are in G.P., then :

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