CBSE[ All India ] _XII_Mathematics_2013_Set III

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  • Q1


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  • Q2


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  • Q3


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    If the matrix A is skew matrix,
    then aij = – aij.
    Therefore,        x = a31
                                 = – a13 
                                 = – (–2 )
                                 = 2.

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  • Q4

    Write the differential equation representing the family of curves y = mx, where m is an arbitrary constant.

     

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  • Q5


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  • Q6


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  • Q7


    Find the length of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 21= 0.

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  • Q8

    The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (marginal revenue). If the total revenue (in rupees) received from the sale of x units of a product is given by R(x)= 3x2 + 36x + 5, find the marginal revenue, when x = 5, and write which value does the question indicate to.

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    The welfare of the employees of a firm is an important parameter for the growth of the firm.
    Welfare helps in keeping the morale and motivation of the employees high so as to retain the employees for longer duration.

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  • Q9


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  • Q10


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