12th Class Mathematics Sample Paper Maths Olympiad Model Paper-7

  • question_answer
    The equation of a curve is y = f(x). The tangents at (1, f(1)), (2, f(2)) and (3, f(3)) make angles \[\frac{\pi }{6},\]\[\frac{\pi }{3}\] and \[\frac{\pi }{4}\] respectively with the positive direction of the x-axis. Then the value of \[\int_{2}^{3}{f'\,\,(x)\,\,f''\,\,(x)\,\,dx+\int_{2}^{3}{f''\,\,(x)\,dx}}\] is equal to

    A)  \[-\frac{1}{\sqrt{3}}\]   

    B)  \[\frac{1}{\sqrt{3}}\]

    C)  1                                

    D)  \[\frac{2}{\sqrt{3}}\]

    E)  None of these

    Correct Answer: A

    Solution :

    Not Available    

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